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Finding the Fourth Proportional to 262,436.38, 362,037.47 and 154,934.40

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Solution

The fourth proportional to 262,436.38, 362,037.47 and 154,934.40 is: 213,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,436.38 : 362,037.47 = 154,934.40 : x
  2. Step 2: Convert to fraction form
    262,436.38/362,037.47 = 154,934.40/x
  3. Step 3: Cross multiply
    262,436.38x = 362,037.47 × 154,934.40
  4. Step 4: Simplify right side
    262,436.38x = 56,092,058,191.97
  5. Step 5: Solve for x
    x = 56,092,058,191.97/262,436.38
  6. Step 6: Final answer
    x = 213,735.83

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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.