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Finding the Fourth Proportional to 157,326.17, 235,792.17 and 123,914.25

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Solution

The fourth proportional to 157,326.17, 235,792.17 and 123,914.25 is: 185,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,326.17 : 235,792.17 = 123,914.25 : x
  2. Step 2: Convert to fraction form
    157,326.17/235,792.17 = 123,914.25/x
  3. Step 3: Cross multiply
    157,326.17x = 235,792.17 × 123,914.25
  4. Step 4: Simplify right side
    157,326.17x = 29,218,009,901.42
  5. Step 5: Solve for x
    x = 29,218,009,901.42/157,326.17
  6. Step 6: Final answer
    x = 185,716.15

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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.