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Finding the Fourth Proportional to 218,305.52, 327,124.44 and 146,963.92

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Solution

The fourth proportional to 218,305.52, 327,124.44 and 146,963.92 is: 220,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,305.52 : 327,124.44 = 146,963.92 : x
  2. Step 2: Convert to fraction form
    218,305.52/327,124.44 = 146,963.92/x
  3. Step 3: Cross multiply
    218,305.52x = 327,124.44 × 146,963.92
  4. Step 4: Simplify right side
    218,305.52x = 48,075,490,030.20
  5. Step 5: Solve for x
    x = 48,075,490,030.20/218,305.52
  6. Step 6: Final answer
    x = 220,221.14

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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.