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Finding the Fourth Proportional to 267,382.80, 400,948.92 and 155,095.20

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Solution

The fourth proportional to 267,382.80, 400,948.92 and 155,095.20 is: 232,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,382.80 : 400,948.92 = 155,095.20 : x
  2. Step 2: Convert to fraction form
    267,382.80/400,948.92 = 155,095.20/x
  3. Step 3: Cross multiply
    267,382.80x = 400,948.92 × 155,095.20
  4. Step 4: Simplify right side
    267,382.80x = 62,185,252,937.18
  5. Step 5: Solve for x
    x = 62,185,252,937.18/267,382.80
  6. Step 6: Final answer
    x = 232,570.13

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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.