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Finding the Fourth Proportional to 283,229.84, 424,743.53 and 93,655.21

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Solution

The fourth proportional to 283,229.84, 424,743.53 and 93,655.21 is: 140,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,229.84 : 424,743.53 = 93,655.21 : x
  2. Step 2: Convert to fraction form
    283,229.84/424,743.53 = 93,655.21/x
  3. Step 3: Cross multiply
    283,229.84x = 424,743.53 × 93,655.21
  4. Step 4: Simplify right side
    283,229.84x = 39,779,444,498.29
  5. Step 5: Solve for x
    x = 39,779,444,498.29/283,229.84
  6. Step 6: Final answer
    x = 140,449.34

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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.