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Finding the Fourth Proportional to 283,670.76, 425,569.21 and 123,772.61

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Solution

The fourth proportional to 283,670.76, 425,569.21 and 123,772.61 is: 185,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,670.76 : 425,569.21 = 123,772.61 : x
  2. Step 2: Convert to fraction form
    283,670.76/425,569.21 = 123,772.61/x
  3. Step 3: Cross multiply
    283,670.76x = 425,569.21 × 123,772.61
  4. Step 4: Simplify right side
    283,670.76x = 52,673,810,038.92
  5. Step 5: Solve for x
    x = 52,673,810,038.92/283,670.76
  6. Step 6: Final answer
    x = 185,686.43

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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.