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Finding the Fourth Proportional to 218,146.16, 327,158.76 and 138,132.08

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Solution

The fourth proportional to 218,146.16, 327,158.76 and 138,132.08 is: 207,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,146.16 : 327,158.76 = 138,132.08 : x
  2. Step 2: Convert to fraction form
    218,146.16/327,158.76 = 138,132.08/x
  3. Step 3: Cross multiply
    218,146.16x = 327,158.76 × 138,132.08
  4. Step 4: Simplify right side
    218,146.16x = 45,191,120,009.02
  5. Step 5: Solve for x
    x = 45,191,120,009.02/218,146.16
  6. Step 6: Final answer
    x = 207,159.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.