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Finding the Fourth Proportional to 442,202.10, 663,141.15 and 142,761.30

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Solution

The fourth proportional to 442,202.10, 663,141.15 and 142,761.30 is: 214,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,202.10 : 663,141.15 = 142,761.30 : x
  2. Step 2: Convert to fraction form
    442,202.10/663,141.15 = 142,761.30/x
  3. Step 3: Cross multiply
    442,202.10x = 663,141.15 × 142,761.30
  4. Step 4: Simplify right side
    442,202.10x = 94,670,892,657.50
  5. Step 5: Solve for x
    x = 94,670,892,657.50/442,202.10
  6. Step 6: Final answer
    x = 214,089.65

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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.