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Finding the Fourth Proportional to 80,221.54, 120,442.74 and 40,805.32

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Solution

The fourth proportional to 80,221.54, 120,442.74 and 40,805.32 is: 61,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,221.54 : 120,442.74 = 40,805.32 : x
  2. Step 2: Convert to fraction form
    80,221.54/120,442.74 = 40,805.32/x
  3. Step 3: Cross multiply
    80,221.54x = 120,442.74 × 40,805.32
  4. Step 4: Simplify right side
    80,221.54x = 4,914,704,547.38
  5. Step 5: Solve for x
    x = 4,914,704,547.38/80,221.54
  6. Step 6: Final answer
    x = 61,264.15

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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.