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Finding the Fourth Proportional to 150,773.56, 207,857.32 and 123,454.28

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Solution

The fourth proportional to 150,773.56, 207,857.32 and 123,454.28 is: 170,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,773.56 : 207,857.32 = 123,454.28 : x
  2. Step 2: Convert to fraction form
    150,773.56/207,857.32 = 123,454.28/x
  3. Step 3: Cross multiply
    150,773.56x = 207,857.32 × 123,454.28
  4. Step 4: Simplify right side
    150,773.56x = 25,660,875,994.34
  5. Step 5: Solve for x
    x = 25,660,875,994.34/150,773.56
  6. Step 6: Final answer
    x = 170,194.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.