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Finding the Fourth Proportional to 218,452.68, 327,569.40 and 106,062.48

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Solution

The fourth proportional to 218,452.68, 327,569.40 and 106,062.48 is: 159,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,452.68 : 327,569.40 = 106,062.48 : x
  2. Step 2: Convert to fraction form
    218,452.68/327,569.40 = 106,062.48/x
  3. Step 3: Cross multiply
    218,452.68x = 327,569.40 × 106,062.48
  4. Step 4: Simplify right side
    218,452.68x = 34,742,822,936.11
  5. Step 5: Solve for x
    x = 34,742,822,936.11/218,452.68
  6. Step 6: Final answer
    x = 159,040.50

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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.