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Finding the Fourth Proportional to 138,593.08, 191,247 and 78,178.58

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Solution

The fourth proportional to 138,593.08, 191,247 and 78,178.58 is: 107,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,593.08 : 191,247 = 78,178.58 : x
  2. Step 2: Convert to fraction form
    138,593.08/191,247 = 78,178.58/x
  3. Step 3: Cross multiply
    138,593.08x = 191,247 × 78,178.58
  4. Step 4: Simplify right side
    138,593.08x = 14,951,418,889.26
  5. Step 5: Solve for x
    x = 14,951,418,889.26/138,593.08
  6. Step 6: Final answer
    x = 107,879.98

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1.5x scale

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.