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Finding the Fourth Proportional to 267,734.65, 369,476.64 and 146,876.17

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Solution

The fourth proportional to 267,734.65, 369,476.64 and 146,876.17 is: 202,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,734.65 : 369,476.64 = 146,876.17 : x
  2. Step 2: Convert to fraction form
    267,734.65/369,476.64 = 146,876.17/x
  3. Step 3: Cross multiply
    267,734.65x = 369,476.64 × 146,876.17
  4. Step 4: Simplify right side
    267,734.65x = 54,267,313,787.67
  5. Step 5: Solve for x
    x = 54,267,313,787.67/267,734.65
  6. Step 6: Final answer
    x = 202,690.66

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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.