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Finding the Fourth Proportional to 220,111.56, 303,882.84 and 159,624

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Solution

The fourth proportional to 220,111.56, 303,882.84 and 159,624 is: 220,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,111.56 : 303,882.84 = 159,624 : x
  2. Step 2: Convert to fraction form
    220,111.56/303,882.84 = 159,624/x
  3. Step 3: Cross multiply
    220,111.56x = 303,882.84 × 159,624
  4. Step 4: Simplify right side
    220,111.56x = 48,506,994,452.16
  5. Step 5: Solve for x
    x = 48,506,994,452.16/220,111.56
  6. Step 6: Final answer
    x = 220,374.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.