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Finding the Fourth Proportional to 381,883.60, 572,825.40 and 101,429.20

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Solution

The fourth proportional to 381,883.60, 572,825.40 and 101,429.20 is: 152,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,883.60 : 572,825.40 = 101,429.20 : x
  2. Step 2: Convert to fraction form
    381,883.60/572,825.40 = 101,429.20/x
  3. Step 3: Cross multiply
    381,883.60x = 572,825.40 × 101,429.20
  4. Step 4: Simplify right side
    381,883.60x = 58,101,222,061.68
  5. Step 5: Solve for x
    x = 58,101,222,061.68/381,883.60
  6. Step 6: Final answer
    x = 152,143.80

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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.