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Finding the Fourth Proportional to 283,355.55, 424,987.20 and 114,869.07

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Solution

The fourth proportional to 283,355.55, 424,987.20 and 114,869.07 is: 172,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,355.55 : 424,987.20 = 114,869.07 : x
  2. Step 2: Convert to fraction form
    283,355.55/424,987.20 = 114,869.07/x
  3. Step 3: Cross multiply
    283,355.55x = 424,987.20 × 114,869.07
  4. Step 4: Simplify right side
    283,355.55x = 48,817,884,425.90
  5. Step 5: Solve for x
    x = 48,817,884,425.90/283,355.55
  6. Step 6: Final answer
    x = 172,284.91

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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.