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Finding the Fourth Proportional to 116,098.52, 160,244.53 and 70,801.49

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Solution

The fourth proportional to 116,098.52, 160,244.53 and 70,801.49 is: 97,723.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,098.52 : 160,244.53 = 70,801.49 : x
  2. Step 2: Convert to fraction form
    116,098.52/160,244.53 = 70,801.49/x
  3. Step 3: Cross multiply
    116,098.52x = 160,244.53 × 70,801.49
  4. Step 4: Simplify right side
    116,098.52x = 11,345,551,711.96
  5. Step 5: Solve for x
    x = 11,345,551,711.96/116,098.52
  6. Step 6: Final answer
    x = 97,723.49

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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.