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Finding the Fourth Proportional to 283,138.74, 424,711.47 and 96,164.82

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Solution

The fourth proportional to 283,138.74, 424,711.47 and 96,164.82 is: 144,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,138.74 : 424,711.47 = 96,164.82 : x
  2. Step 2: Convert to fraction form
    283,138.74/424,711.47 = 96,164.82/x
  3. Step 3: Cross multiply
    283,138.74x = 424,711.47 × 96,164.82
  4. Step 4: Simplify right side
    283,138.74x = 40,842,302,064.49
  5. Step 5: Solve for x
    x = 40,842,302,064.49/283,138.74
  6. Step 6: Final answer
    x = 144,248.37

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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.