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Finding the Fourth Proportional to 283,242.55, 424,863.84 and 105,763.42

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Solution

The fourth proportional to 283,242.55, 424,863.84 and 105,763.42 is: 158,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,242.55 : 424,863.84 = 105,763.42 : x
  2. Step 2: Convert to fraction form
    283,242.55/424,863.84 = 105,763.42/x
  3. Step 3: Cross multiply
    283,242.55x = 424,863.84 × 105,763.42
  4. Step 4: Simplify right side
    283,242.55x = 44,935,052,752.73
  5. Step 5: Solve for x
    x = 44,935,052,752.73/283,242.55
  6. Step 6: Final answer
    x = 158,645.14

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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.