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Finding the Fourth Proportional to 442,195.16, 663,290.22 and 126,652.16

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Solution

The fourth proportional to 442,195.16, 663,290.22 and 126,652.16 is: 189,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,195.16 : 663,290.22 = 126,652.16 : x
  2. Step 2: Convert to fraction form
    442,195.16/663,290.22 = 126,652.16/x
  3. Step 3: Cross multiply
    442,195.16x = 663,290.22 × 126,652.16
  4. Step 4: Simplify right side
    442,195.16x = 84,007,139,069.88
  5. Step 5: Solve for x
    x = 84,007,139,069.88/442,195.16
  6. Step 6: Final answer
    x = 189,977.52

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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.