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Finding the Fourth Proportional to 230,152.88, 345,233.64 and 63,945.20

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Solution

The fourth proportional to 230,152.88, 345,233.64 and 63,945.20 is: 95,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,152.88 : 345,233.64 = 63,945.20 : x
  2. Step 2: Convert to fraction form
    230,152.88/345,233.64 = 63,945.20/x
  3. Step 3: Cross multiply
    230,152.88x = 345,233.64 × 63,945.20
  4. Step 4: Simplify right side
    230,152.88x = 22,076,032,110.63
  5. Step 5: Solve for x
    x = 22,076,032,110.63/230,152.88
  6. Step 6: Final answer
    x = 95,918.99

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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.