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Finding the Fourth Proportional to 442,546.98, 663,657.69 and 158,160.66

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Solution

The fourth proportional to 442,546.98, 663,657.69 and 158,160.66 is: 237,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,546.98 : 663,657.69 = 158,160.66 : x
  2. Step 2: Convert to fraction form
    442,546.98/663,657.69 = 158,160.66/x
  3. Step 3: Cross multiply
    442,546.98x = 663,657.69 × 158,160.66
  4. Step 4: Simplify right side
    442,546.98x = 104,964,535,479.21
  5. Step 5: Solve for x
    x = 104,964,535,479.21/442,546.98
  6. Step 6: Final answer
    x = 237,182.81

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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.