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Finding the Fourth Proportional to 102,224.95, 140,767.11 and 73,494.05

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Solution

The fourth proportional to 102,224.95, 140,767.11 and 73,494.05 is: 101,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.95 : 140,767.11 = 73,494.05 : x
  2. Step 2: Convert to fraction form
    102,224.95/140,767.11 = 73,494.05/x
  3. Step 3: Cross multiply
    102,224.95x = 140,767.11 × 73,494.05
  4. Step 4: Simplify right side
    102,224.95x = 10,345,545,020.70
  5. Step 5: Solve for x
    x = 10,345,545,020.70/102,224.95
  6. Step 6: Final answer
    x = 101,203.72

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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.