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Finding the Fourth Proportional to 138,406.86, 190,961.96 and 77,956.38

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Solution

The fourth proportional to 138,406.86, 190,961.96 and 77,956.38 is: 107,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.86 : 190,961.96 = 77,956.38 : x
  2. Step 2: Convert to fraction form
    138,406.86/190,961.96 = 77,956.38/x
  3. Step 3: Cross multiply
    138,406.86x = 190,961.96 × 77,956.38
  4. Step 4: Simplify right side
    138,406.86x = 14,886,702,729.52
  5. Step 5: Solve for x
    x = 14,886,702,729.52/138,406.86
  6. Step 6: Final answer
    x = 107,557.55

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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.