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Finding the Fourth Proportional to 235,123.14, 352,698.05 and 75,213.12

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Solution

The fourth proportional to 235,123.14, 352,698.05 and 75,213.12 is: 112,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,123.14 : 352,698.05 = 75,213.12 : x
  2. Step 2: Convert to fraction form
    235,123.14/352,698.05 = 75,213.12/x
  3. Step 3: Cross multiply
    235,123.14x = 352,698.05 × 75,213.12
  4. Step 4: Simplify right side
    235,123.14x = 26,527,520,758.42
  5. Step 5: Solve for x
    x = 26,527,520,758.42/235,123.14
  6. Step 6: Final answer
    x = 112,823.95

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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.