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Finding the Fourth Proportional to 268,111.20, 402,458.40 and 150,013.20

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Solution

The fourth proportional to 268,111.20, 402,458.40 and 150,013.20 is: 225,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,111.20 : 402,458.40 = 150,013.20 : x
  2. Step 2: Convert to fraction form
    268,111.20/402,458.40 = 150,013.20/x
  3. Step 3: Cross multiply
    268,111.20x = 402,458.40 × 150,013.20
  4. Step 4: Simplify right side
    268,111.20x = 60,374,072,450.88
  5. Step 5: Solve for x
    x = 60,374,072,450.88/268,111.20
  6. Step 6: Final answer
    x = 225,182.96

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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.