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Finding the Fourth Proportional to 267,447.76, 369,080.80 and 146,586.44

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Solution

The fourth proportional to 267,447.76, 369,080.80 and 146,586.44 is: 202,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,447.76 : 369,080.80 = 146,586.44 : x
  2. Step 2: Convert to fraction form
    267,447.76/369,080.80 = 146,586.44/x
  3. Step 3: Cross multiply
    267,447.76x = 369,080.80 × 146,586.44
  4. Step 4: Simplify right side
    267,447.76x = 54,102,240,544.35
  5. Step 5: Solve for x
    x = 54,102,240,544.35/267,447.76
  6. Step 6: Final answer
    x = 202,290.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.