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Finding the Fourth Proportional to 116,343.57, 160,549.89 and 71,097.27

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Solution

The fourth proportional to 116,343.57, 160,549.89 and 71,097.27 is: 98,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,343.57 : 160,549.89 = 71,097.27 : x
  2. Step 2: Convert to fraction form
    116,343.57/160,549.89 = 71,097.27/x
  3. Step 3: Cross multiply
    116,343.57x = 160,549.89 × 71,097.27
  4. Step 4: Simplify right side
    116,343.57x = 11,414,658,877.80
  5. Step 5: Solve for x
    x = 11,414,658,877.80/116,343.57
  6. Step 6: Final answer
    x = 98,111.64

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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.