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Finding the Fourth Proportional to 103,238.24, 154,952.40 and 63,872.24

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Solution

The fourth proportional to 103,238.24, 154,952.40 and 63,872.24 is: 95,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,238.24 : 154,952.40 = 63,872.24 : x
  2. Step 2: Convert to fraction form
    103,238.24/154,952.40 = 63,872.24/x
  3. Step 3: Cross multiply
    103,238.24x = 154,952.40 × 63,872.24
  4. Step 4: Simplify right side
    103,238.24x = 9,897,156,881.38
  5. Step 5: Solve for x
    x = 9,897,156,881.38/103,238.24
  6. Step 6: Final answer
    x = 95,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.