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Finding the Fourth Proportional to 119,829.38, 165,364.08 and 66,117.74

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Solution

The fourth proportional to 119,829.38, 165,364.08 and 66,117.74 is: 91,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,829.38 : 165,364.08 = 66,117.74 : x
  2. Step 2: Convert to fraction form
    119,829.38/165,364.08 = 66,117.74/x
  3. Step 3: Cross multiply
    119,829.38x = 165,364.08 × 66,117.74
  4. Step 4: Simplify right side
    119,829.38x = 10,933,499,246.78
  5. Step 5: Solve for x
    x = 10,933,499,246.78/119,829.38
  6. Step 6: Final answer
    x = 91,242.22

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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.