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Finding the Fourth Proportional to 118,930.19, 164,209.76 and 76,562.52

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Solution

The fourth proportional to 118,930.19, 164,209.76 and 76,562.52 is: 105,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,930.19 : 164,209.76 = 76,562.52 : x
  2. Step 2: Convert to fraction form
    118,930.19/164,209.76 = 76,562.52/x
  3. Step 3: Cross multiply
    118,930.19x = 164,209.76 × 76,562.52
  4. Step 4: Simplify right side
    118,930.19x = 12,572,312,651.38
  5. Step 5: Solve for x
    x = 12,572,312,651.38/118,930.19
  6. Step 6: Final answer
    x = 105,711.71

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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.