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Finding the Fourth Proportional to 138,462.50, 191,078.51 and 80,330.51

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Solution

The fourth proportional to 138,462.50, 191,078.51 and 80,330.51 is: 110,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462.50 : 191,078.51 = 80,330.51 : x
  2. Step 2: Convert to fraction form
    138,462.50/191,078.51 = 80,330.51/x
  3. Step 3: Cross multiply
    138,462.50x = 191,078.51 × 80,330.51
  4. Step 4: Simplify right side
    138,462.50x = 15,349,434,234.38
  5. Step 5: Solve for x
    x = 15,349,434,234.38/138,462.50
  6. Step 6: Final answer
    x = 110,856.26

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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.