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Finding the Fourth Proportional to 122,498, 183,794.53 and 47,670.70

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Solution

The fourth proportional to 122,498, 183,794.53 and 47,670.70 is: 71,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,498 : 183,794.53 = 47,670.70 : x
  2. Step 2: Convert to fraction form
    122,498/183,794.53 = 47,670.70/x
  3. Step 3: Cross multiply
    122,498x = 183,794.53 × 47,670.70
  4. Step 4: Simplify right side
    122,498x = 8,761,613,901.27
  5. Step 5: Solve for x
    x = 8,761,613,901.27/122,498
  6. Step 6: Final answer
    x = 71,524.55

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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.