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Finding the Fourth Proportional to 115,070.76, 158,715.82 and 76,811

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Solution

The fourth proportional to 115,070.76, 158,715.82 and 76,811 is: 105,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,070.76 : 158,715.82 = 76,811 : x
  2. Step 2: Convert to fraction form
    115,070.76/158,715.82 = 76,811/x
  3. Step 3: Cross multiply
    115,070.76x = 158,715.82 × 76,811
  4. Step 4: Simplify right side
    115,070.76x = 12,191,120,850.02
  5. Step 5: Solve for x
    x = 12,191,120,850.02/115,070.76
  6. Step 6: Final answer
    x = 105,944.56

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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.