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Finding the Fourth Proportional to 231,305.29, 319,103.54 and 154,849.01

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Solution

The fourth proportional to 231,305.29, 319,103.54 and 154,849.01 is: 213,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,305.29 : 319,103.54 = 154,849.01 : x
  2. Step 2: Convert to fraction form
    231,305.29/319,103.54 = 154,849.01/x
  3. Step 3: Cross multiply
    231,305.29x = 319,103.54 × 154,849.01
  4. Step 4: Simplify right side
    231,305.29x = 49,412,867,256.50
  5. Step 5: Solve for x
    x = 49,412,867,256.50/231,305.29
  6. Step 6: Final answer
    x = 213,626.19

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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.