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Finding the Fourth Proportional to 133,248.68, 199,822.80 and 54,319.04

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Solution

The fourth proportional to 133,248.68, 199,822.80 and 54,319.04 is: 81,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,248.68 : 199,822.80 = 54,319.04 : x
  2. Step 2: Convert to fraction form
    133,248.68/199,822.80 = 54,319.04/x
  3. Step 3: Cross multiply
    133,248.68x = 199,822.80 × 54,319.04
  4. Step 4: Simplify right side
    133,248.68x = 10,854,182,666.11
  5. Step 5: Solve for x
    x = 10,854,182,666.11/133,248.68
  6. Step 6: Final answer
    x = 81,458.09

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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.