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Finding the Fourth Proportional to 442,166.90, 663,299.78 and 157,923.32

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Solution

The fourth proportional to 442,166.90, 663,299.78 and 157,923.32 is: 236,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,166.90 : 663,299.78 = 157,923.32 : x
  2. Step 2: Convert to fraction form
    442,166.90/663,299.78 = 157,923.32/x
  3. Step 3: Cross multiply
    442,166.90x = 663,299.78 × 157,923.32
  4. Step 4: Simplify right side
    442,166.90x = 104,750,499,306.75
  5. Step 5: Solve for x
    x = 104,750,499,306.75/442,166.90
  6. Step 6: Final answer
    x = 236,902.63

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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.