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Finding the Fourth Proportional to 116,308.76, 160,514.19 and 78,132.06

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Solution

The fourth proportional to 116,308.76, 160,514.19 and 78,132.06 is: 107,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,308.76 : 160,514.19 = 78,132.06 : x
  2. Step 2: Convert to fraction form
    116,308.76/160,514.19 = 78,132.06/x
  3. Step 3: Cross multiply
    116,308.76x = 160,514.19 × 78,132.06
  4. Step 4: Simplify right side
    116,308.76x = 12,541,304,323.93
  5. Step 5: Solve for x
    x = 12,541,304,323.93/116,308.76
  6. Step 6: Final answer
    x = 107,827.69

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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.