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Finding the Fourth Proportional to 122,497, 183,793.03 and 47,669.70

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Solution

The fourth proportional to 122,497, 183,793.03 and 47,669.70 is: 71,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,497 : 183,793.03 = 47,669.70 : x
  2. Step 2: Convert to fraction form
    122,497/183,793.03 = 47,669.70/x
  3. Step 3: Cross multiply
    122,497x = 183,793.03 × 47,669.70
  4. Step 4: Simplify right side
    122,497x = 8,761,358,602.19
  5. Step 5: Solve for x
    x = 8,761,358,602.19/122,497
  6. Step 6: Final answer
    x = 71,523.05

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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.