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Finding the Fourth Proportional to 114,160.73, 157,523.40 and 71,689.19

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Solution

The fourth proportional to 114,160.73, 157,523.40 and 71,689.19 is: 98,919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,160.73 : 157,523.40 = 71,689.19 : x
  2. Step 2: Convert to fraction form
    114,160.73/157,523.40 = 71,689.19/x
  3. Step 3: Cross multiply
    114,160.73x = 157,523.40 × 71,689.19
  4. Step 4: Simplify right side
    114,160.73x = 11,292,724,164.43
  5. Step 5: Solve for x
    x = 11,292,724,164.43/114,160.73
  6. Step 6: Final answer
    x = 98,919.52

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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.