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Finding the Fourth Proportional to 283,232.13, 424,747.02 and 93,657.51

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Solution

The fourth proportional to 283,232.13, 424,747.02 and 93,657.51 is: 140,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,232.13 : 424,747.02 = 93,657.51 : x
  2. Step 2: Convert to fraction form
    283,232.13/424,747.02 = 93,657.51/x
  3. Step 3: Cross multiply
    283,232.13x = 424,747.02 × 93,657.51
  4. Step 4: Simplify right side
    283,232.13x = 39,780,748,273.12
  5. Step 5: Solve for x
    x = 39,780,748,273.12/283,232.13
  6. Step 6: Final answer
    x = 140,452.81

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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.