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Finding the Fourth Proportional to 218,411.10, 327,627.45 and 113,435.10

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Solution

The fourth proportional to 218,411.10, 327,627.45 and 113,435.10 is: 170,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,411.10 : 327,627.45 = 113,435.10 : x
  2. Step 2: Convert to fraction form
    218,411.10/327,627.45 = 113,435.10/x
  3. Step 3: Cross multiply
    218,411.10x = 327,627.45 × 113,435.10
  4. Step 4: Simplify right side
    218,411.10x = 37,164,452,553.50
  5. Step 5: Solve for x
    x = 37,164,452,553.50/218,411.10
  6. Step 6: Final answer
    x = 170,158.26

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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.