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Finding the Fourth Proportional to 220,165.95, 303,922.05 and 148,642.86

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Solution

The fourth proportional to 220,165.95, 303,922.05 and 148,642.86 is: 205,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,165.95 : 303,922.05 = 148,642.86 : x
  2. Step 2: Convert to fraction form
    220,165.95/303,922.05 = 148,642.86/x
  3. Step 3: Cross multiply
    220,165.95x = 303,922.05 × 148,642.86
  4. Step 4: Simplify right side
    220,165.95x = 45,175,842,729.06
  5. Step 5: Solve for x
    x = 45,175,842,729.06/220,165.95
  6. Step 6: Final answer
    x = 205,189.96

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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.