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Finding the Fourth Proportional to 442,199.16, 663,296.22 and 126,656.16

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Solution

The fourth proportional to 442,199.16, 663,296.22 and 126,656.16 is: 189,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,199.16 : 663,296.22 = 126,656.16 : x
  2. Step 2: Convert to fraction form
    442,199.16/663,296.22 = 126,656.16/x
  3. Step 3: Cross multiply
    442,199.16x = 663,296.22 × 126,656.16
  4. Step 4: Simplify right side
    442,199.16x = 84,010,552,167.72
  5. Step 5: Solve for x
    x = 84,010,552,167.72/442,199.16
  6. Step 6: Final answer
    x = 189,983.52

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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.