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Finding the Fourth Proportional to 116,159.52, 160,349.07 and 78,484.80

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Solution

The fourth proportional to 116,159.52, 160,349.07 and 78,484.80 is: 108,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,159.52 : 160,349.07 = 78,484.80 : x
  2. Step 2: Convert to fraction form
    116,159.52/160,349.07 = 78,484.80/x
  3. Step 3: Cross multiply
    116,159.52x = 160,349.07 × 78,484.80
  4. Step 4: Simplify right side
    116,159.52x = 12,584,964,689.14
  5. Step 5: Solve for x
    x = 12,584,964,689.14/116,159.52
  6. Step 6: Final answer
    x = 108,342.09

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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.