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Finding the Fourth Proportional to 262,753.32, 362,599.98 and 149,576.07

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Solution

The fourth proportional to 262,753.32, 362,599.98 and 149,576.07 is: 206,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,753.32 : 362,599.98 = 149,576.07 : x
  2. Step 2: Convert to fraction form
    262,753.32/362,599.98 = 149,576.07/x
  3. Step 3: Cross multiply
    262,753.32x = 362,599.98 × 149,576.07
  4. Step 4: Simplify right side
    262,753.32x = 54,236,279,990.48
  5. Step 5: Solve for x
    x = 54,236,279,990.48/262,753.32
  6. Step 6: Final answer
    x = 206,415.20

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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.