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Finding the Fourth Proportional to 150,443.76, 225,696.68 and 61,695.28

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Solution

The fourth proportional to 150,443.76, 225,696.68 and 61,695.28 is: 92,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,443.76 : 225,696.68 = 61,695.28 : x
  2. Step 2: Convert to fraction form
    150,443.76/225,696.68 = 61,695.28/x
  3. Step 3: Cross multiply
    150,443.76x = 225,696.68 × 61,695.28
  4. Step 4: Simplify right side
    150,443.76x = 13,924,419,867.67
  5. Step 5: Solve for x
    x = 13,924,419,867.67/150,443.76
  6. Step 6: Final answer
    x = 92,555.65

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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.