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Finding the Fourth Proportional to 116,342.69, 160,614.14 and 78,302.22

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Solution

The fourth proportional to 116,342.69, 160,614.14 and 78,302.22 is: 108,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,342.69 : 160,614.14 = 78,302.22 : x
  2. Step 2: Convert to fraction form
    116,342.69/160,614.14 = 78,302.22/x
  3. Step 3: Cross multiply
    116,342.69x = 160,614.14 × 78,302.22
  4. Step 4: Simplify right side
    116,342.69x = 12,576,443,725.39
  5. Step 5: Solve for x
    x = 12,576,443,725.39/116,342.69
  6. Step 6: Final answer
    x = 108,098.27

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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.