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Finding the Fourth Proportional to 139,472.32, 209,206.65 and 34,292.20

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Solution

The fourth proportional to 139,472.32, 209,206.65 and 34,292.20 is: 51,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,472.32 : 209,206.65 = 34,292.20 : x
  2. Step 2: Convert to fraction form
    139,472.32/209,206.65 = 34,292.20/x
  3. Step 3: Cross multiply
    139,472.32x = 209,206.65 × 34,292.20
  4. Step 4: Simplify right side
    139,472.32x = 7,174,156,283.13
  5. Step 5: Solve for x
    x = 7,174,156,283.13/139,472.32
  6. Step 6: Final answer
    x = 51,437.85

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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.