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Finding the Fourth Proportional to 129,658.32, 194,370.76 and 46,532.88

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Solution

The fourth proportional to 129,658.32, 194,370.76 and 46,532.88 is: 69,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,658.32 : 194,370.76 = 46,532.88 : x
  2. Step 2: Convert to fraction form
    129,658.32/194,370.76 = 46,532.88/x
  3. Step 3: Cross multiply
    129,658.32x = 194,370.76 × 46,532.88
  4. Step 4: Simplify right side
    129,658.32x = 9,044,631,250.59
  5. Step 5: Solve for x
    x = 9,044,631,250.59/129,658.32
  6. Step 6: Final answer
    x = 69,757.43

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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.