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Finding the Fourth Proportional to 275,711.70, 413,567.55 and 117,956.10

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Solution

The fourth proportional to 275,711.70, 413,567.55 and 117,956.10 is: 176,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,711.70 : 413,567.55 = 117,956.10 : x
  2. Step 2: Convert to fraction form
    275,711.70/413,567.55 = 117,956.10/x
  3. Step 3: Cross multiply
    275,711.70x = 413,567.55 × 117,956.10
  4. Step 4: Simplify right side
    275,711.70x = 48,782,815,284.56
  5. Step 5: Solve for x
    x = 48,782,815,284.56/275,711.70
  6. Step 6: Final answer
    x = 176,934.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.