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Finding the Fourth Proportional to 215,013.27, 296,728.38 and 119,521.56

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Solution

The fourth proportional to 215,013.27, 296,728.38 and 119,521.56 is: 164,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,013.27 : 296,728.38 = 119,521.56 : x
  2. Step 2: Convert to fraction form
    215,013.27/296,728.38 = 119,521.56/x
  3. Step 3: Cross multiply
    215,013.27x = 296,728.38 × 119,521.56
  4. Step 4: Simplify right side
    215,013.27x = 35,465,438,873.87
  5. Step 5: Solve for x
    x = 35,465,438,873.87/215,013.27
  6. Step 6: Final answer
    x = 164,945.35

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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.