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Finding the Fourth Proportional to 138,505.37, 191,125.92 and 78,090.86

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Solution

The fourth proportional to 138,505.37, 191,125.92 and 78,090.86 is: 107,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,505.37 : 191,125.92 = 78,090.86 : x
  2. Step 2: Convert to fraction form
    138,505.37/191,125.92 = 78,090.86/x
  3. Step 3: Cross multiply
    138,505.37x = 191,125.92 × 78,090.86
  4. Step 4: Simplify right side
    138,505.37x = 14,925,188,231.75
  5. Step 5: Solve for x
    x = 14,925,188,231.75/138,505.37
  6. Step 6: Final answer
    x = 107,758.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.