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Finding the Fourth Proportional to 534,205.80, 801,305.64 and 134,844.93

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Solution

The fourth proportional to 534,205.80, 801,305.64 and 134,844.93 is: 202,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,205.80 : 801,305.64 = 134,844.93 : x
  2. Step 2: Convert to fraction form
    534,205.80/801,305.64 = 134,844.93/x
  3. Step 3: Cross multiply
    534,205.80x = 801,305.64 × 134,844.93
  4. Step 4: Simplify right side
    534,205.80x = 108,052,002,934.41
  5. Step 5: Solve for x
    x = 108,052,002,934.41/534,205.80
  6. Step 6: Final answer
    x = 202,266.62

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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.