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Finding the Fourth Proportional to 283,246.56, 424,869.84 and 105,767.42

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Solution

The fourth proportional to 283,246.56, 424,869.84 and 105,767.42 is: 158,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,246.56 : 424,869.84 = 105,767.42 : x
  2. Step 2: Convert to fraction form
    283,246.56/424,869.84 = 105,767.42/x
  3. Step 3: Cross multiply
    283,246.56x = 424,869.84 × 105,767.42
  4. Step 4: Simplify right side
    283,246.56x = 44,937,386,812.61
  5. Step 5: Solve for x
    x = 44,937,386,812.61/283,246.56
  6. Step 6: Final answer
    x = 158,651.13

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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.