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Finding the Fourth Proportional to 267,855.46, 369,628.92 and 146,998.78

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Solution

The fourth proportional to 267,855.46, 369,628.92 and 146,998.78 is: 202,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,855.46 : 369,628.92 = 146,998.78 : x
  2. Step 2: Convert to fraction form
    267,855.46/369,628.92 = 146,998.78/x
  3. Step 3: Cross multiply
    267,855.46x = 369,628.92 × 146,998.78
  4. Step 4: Simplify right side
    267,855.46x = 54,334,999,368.65
  5. Step 5: Solve for x
    x = 54,334,999,368.65/267,855.46
  6. Step 6: Final answer
    x = 202,851.94

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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.