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Finding the Fourth Proportional to 119,713, 165,085.58 and 101,613.15

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Solution

The fourth proportional to 119,713, 165,085.58 and 101,613.15 is: 140,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,713 : 165,085.58 = 101,613.15 : x
  2. Step 2: Convert to fraction form
    119,713/165,085.58 = 101,613.15/x
  3. Step 3: Cross multiply
    119,713x = 165,085.58 × 101,613.15
  4. Step 4: Simplify right side
    119,713x = 16,774,865,803.38
  5. Step 5: Solve for x
    x = 16,774,865,803.38/119,713
  6. Step 6: Final answer
    x = 140,125.68

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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.