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Finding the Fourth Proportional to 144,092.32, 215,695.60 and 122,834.68

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Solution

The fourth proportional to 144,092.32, 215,695.60 and 122,834.68 is: 183,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,092.32 : 215,695.60 = 122,834.68 : x
  2. Step 2: Convert to fraction form
    144,092.32/215,695.60 = 122,834.68/x
  3. Step 3: Cross multiply
    144,092.32x = 215,695.60 × 122,834.68
  4. Step 4: Simplify right side
    144,092.32x = 26,494,900,003.41
  5. Step 5: Solve for x
    x = 26,494,900,003.41/144,092.32
  6. Step 6: Final answer
    x = 183,874.48

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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.