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Finding the Fourth Proportional to 218,134.40, 327,009.60 and 147,785.60

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Solution

The fourth proportional to 218,134.40, 327,009.60 and 147,785.60 is: 221,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,134.40 : 327,009.60 = 147,785.60 : x
  2. Step 2: Convert to fraction form
    218,134.40/327,009.60 = 147,785.60/x
  3. Step 3: Cross multiply
    218,134.40x = 327,009.60 × 147,785.60
  4. Step 4: Simplify right side
    218,134.40x = 48,327,309,941.76
  5. Step 5: Solve for x
    x = 48,327,309,941.76/218,134.40
  6. Step 6: Final answer
    x = 221,548.32

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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.