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Finding the Fourth Proportional to 147,102.90, 220,656.51 and 36,294.90

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Solution

The fourth proportional to 147,102.90, 220,656.51 and 36,294.90 is: 54,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,102.90 : 220,656.51 = 36,294.90 : x
  2. Step 2: Convert to fraction form
    147,102.90/220,656.51 = 36,294.90/x
  3. Step 3: Cross multiply
    147,102.90x = 220,656.51 × 36,294.90
  4. Step 4: Simplify right side
    147,102.90x = 8,008,705,964.80
  5. Step 5: Solve for x
    x = 8,008,705,964.80/147,102.90
  6. Step 6: Final answer
    x = 54,442.88

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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.