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Finding the Fourth Proportional to 119,697.27, 165,180.19 and 65,987.28

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Solution

The fourth proportional to 119,697.27, 165,180.19 and 65,987.28 is: 91,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,697.27 : 165,180.19 = 65,987.28 : x
  2. Step 2: Convert to fraction form
    119,697.27/165,180.19 = 65,987.28/x
  3. Step 3: Cross multiply
    119,697.27x = 165,180.19 × 65,987.28
  4. Step 4: Simplify right side
    119,697.27x = 10,899,791,447.98
  5. Step 5: Solve for x
    x = 10,899,791,447.98/119,697.27
  6. Step 6: Final answer
    x = 91,061.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.