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Finding the Fourth Proportional to 299,843.53, 449,699.05 and 86,565.11

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Solution

The fourth proportional to 299,843.53, 449,699.05 and 86,565.11 is: 129,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,843.53 : 449,699.05 = 86,565.11 : x
  2. Step 2: Convert to fraction form
    299,843.53/449,699.05 = 86,565.11/x
  3. Step 3: Cross multiply
    299,843.53x = 449,699.05 × 86,565.11
  4. Step 4: Simplify right side
    299,843.53x = 38,928,248,854.39
  5. Step 5: Solve for x
    x = 38,928,248,854.39/299,843.53
  6. Step 6: Final answer
    x = 129,828.54

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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.