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Finding the Fourth Proportional to 283,875.42, 425,740.48 and 84,149.12

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Solution

The fourth proportional to 283,875.42, 425,740.48 and 84,149.12 is: 126,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,875.42 : 425,740.48 = 84,149.12 : x
  2. Step 2: Convert to fraction form
    283,875.42/425,740.48 = 84,149.12/x
  3. Step 3: Cross multiply
    283,875.42x = 425,740.48 × 84,149.12
  4. Step 4: Simplify right side
    283,875.42x = 35,825,686,740.38
  5. Step 5: Solve for x
    x = 35,825,686,740.38/283,875.42
  6. Step 6: Final answer
    x = 126,202.14

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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.