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Finding the Fourth Proportional to 543,114.18, 814,353.65 and 163,921.19

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Solution

The fourth proportional to 543,114.18, 814,353.65 and 163,921.19 is: 245,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,114.18 : 814,353.65 = 163,921.19 : x
  2. Step 2: Convert to fraction form
    543,114.18/814,353.65 = 163,921.19/x
  3. Step 3: Cross multiply
    543,114.18x = 814,353.65 × 163,921.19
  4. Step 4: Simplify right side
    543,114.18x = 133,489,815,112.17
  5. Step 5: Solve for x
    x = 133,489,815,112.17/543,114.18
  6. Step 6: Final answer
    x = 245,785.91

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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.