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Finding the Fourth Proportional to 274,760.40, 412,259.13 and 148,375.50

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Solution

The fourth proportional to 274,760.40, 412,259.13 and 148,375.50 is: 222,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,760.40 : 412,259.13 = 148,375.50 : x
  2. Step 2: Convert to fraction form
    274,760.40/412,259.13 = 148,375.50/x
  3. Step 3: Cross multiply
    274,760.40x = 412,259.13 × 148,375.50
  4. Step 4: Simplify right side
    274,760.40x = 61,169,154,543.32
  5. Step 5: Solve for x
    x = 61,169,154,543.32/274,760.40
  6. Step 6: Final answer
    x = 222,627.26

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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.