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Finding the Fourth Proportional to 114,016.49, 157,387.16 and 102,059.15

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Solution

The fourth proportional to 114,016.49, 157,387.16 and 102,059.15 is: 140,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,016.49 : 157,387.16 = 102,059.15 : x
  2. Step 2: Convert to fraction form
    114,016.49/157,387.16 = 102,059.15/x
  3. Step 3: Cross multiply
    114,016.49x = 157,387.16 × 102,059.15
  4. Step 4: Simplify right side
    114,016.49x = 16,062,799,260.22
  5. Step 5: Solve for x
    x = 16,062,799,260.22/114,016.49
  6. Step 6: Final answer
    x = 140,881.37

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