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Finding the Fourth Proportional to 282,058.38, 389,233.80 and 154,732.86

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Solution

The fourth proportional to 282,058.38, 389,233.80 and 154,732.86 is: 213,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,058.38 : 389,233.80 = 154,732.86 : x
  2. Step 2: Convert to fraction form
    282,058.38/389,233.80 = 154,732.86/x
  3. Step 3: Cross multiply
    282,058.38x = 389,233.80 × 154,732.86
  4. Step 4: Simplify right side
    282,058.38x = 60,227,259,082.67
  5. Step 5: Solve for x
    x = 60,227,259,082.67/282,058.38
  6. Step 6: Final answer
    x = 213,527.64

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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.