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Finding the Fourth Proportional to 102,203,999.80, 153,305,999.70 and 59,157,278.80

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Solution

The fourth proportional to 102,203,999.80, 153,305,999.70 and 59,157,278.80 is: 88,735,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,203,999.80 : 153,305,999.70 = 59,157,278.80 : x
  2. Step 2: Convert to fraction form
    102,203,999.80/153,305,999.70 = 59,157,278.80/x
  3. Step 3: Cross multiply
    102,203,999.80x = 153,305,999.70 × 59,157,278.80
  4. Step 4: Simplify right side
    102,203,999.80x = 9,069,165,765,965,616
  5. Step 5: Solve for x
    x = 9,069,165,765,965,616/102,203,999.80
  6. Step 6: Final answer
    x = 88,735,918.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.