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Finding the Fourth Proportional to 282,252.80, 389,513.28 and 154,940

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Solution

The fourth proportional to 282,252.80, 389,513.28 and 154,940 is: 213,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,252.80 : 389,513.28 = 154,940 : x
  2. Step 2: Convert to fraction form
    282,252.80/389,513.28 = 154,940/x
  3. Step 3: Cross multiply
    282,252.80x = 389,513.28 × 154,940
  4. Step 4: Simplify right side
    282,252.80x = 60,351,187,603.20
  5. Step 5: Solve for x
    x = 60,351,187,603.20/282,252.80
  6. Step 6: Final answer
    x = 213,819.62

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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.