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Finding the Fourth Proportional to 282,193.82, 423,332.04 and 132,449.32

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Solution

The fourth proportional to 282,193.82, 423,332.04 and 132,449.32 is: 198,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,193.82 : 423,332.04 = 132,449.32 : x
  2. Step 2: Convert to fraction form
    282,193.82/423,332.04 = 132,449.32/x
  3. Step 3: Cross multiply
    282,193.82x = 423,332.04 × 132,449.32
  4. Step 4: Simplify right side
    282,193.82x = 56,070,040,832.21
  5. Step 5: Solve for x
    x = 56,070,040,832.21/282,193.82
  6. Step 6: Final answer
    x = 198,693.37

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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.