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Finding the Fourth Proportional to 147,144.56, 220,677.84 and 40,503.20

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Solution

The fourth proportional to 147,144.56, 220,677.84 and 40,503.20 is: 60,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,144.56 : 220,677.84 = 40,503.20 : x
  2. Step 2: Convert to fraction form
    147,144.56/220,677.84 = 40,503.20/x
  3. Step 3: Cross multiply
    147,144.56x = 220,677.84 × 40,503.20
  4. Step 4: Simplify right side
    147,144.56x = 8,938,158,689.09
  5. Step 5: Solve for x
    x = 8,938,158,689.09/147,144.56
  6. Step 6: Final answer
    x = 60,744.06

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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.