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Finding the Fourth Proportional to 283,228.97, 424,742.22 and 93,654.34

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Solution

The fourth proportional to 283,228.97, 424,742.22 and 93,654.34 is: 140,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,228.97 : 424,742.22 = 93,654.34 : x
  2. Step 2: Convert to fraction form
    283,228.97/424,742.22 = 93,654.34/x
  3. Step 3: Cross multiply
    283,228.97x = 424,742.22 × 93,654.34
  4. Step 4: Simplify right side
    283,228.97x = 39,778,951,222.38
  5. Step 5: Solve for x
    x = 39,778,951,222.38/283,228.97
  6. Step 6: Final answer
    x = 140,448.03

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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.