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Finding the Fourth Proportional to 442,098.30, 663,147.45 and 109,674.30

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Solution

The fourth proportional to 442,098.30, 663,147.45 and 109,674.30 is: 164,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,098.30 : 663,147.45 = 109,674.30 : x
  2. Step 2: Convert to fraction form
    442,098.30/663,147.45 = 109,674.30/x
  3. Step 3: Cross multiply
    442,098.30x = 663,147.45 × 109,674.30
  4. Step 4: Simplify right side
    442,098.30x = 72,730,232,375.54
  5. Step 5: Solve for x
    x = 72,730,232,375.54/442,098.30
  6. Step 6: Final answer
    x = 164,511.45

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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.