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Finding the Fourth Proportional to 103,243.24, 154,959.90 and 63,877.24

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Solution

The fourth proportional to 103,243.24, 154,959.90 and 63,877.24 is: 95,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,243.24 : 154,959.90 = 63,877.24 : x
  2. Step 2: Convert to fraction form
    103,243.24/154,959.90 = 63,877.24/x
  3. Step 3: Cross multiply
    103,243.24x = 154,959.90 × 63,877.24
  4. Step 4: Simplify right side
    103,243.24x = 9,898,410,722.68
  5. Step 5: Solve for x
    x = 9,898,410,722.68/103,243.24
  6. Step 6: Final answer
    x = 95,874.66

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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.