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Finding the Fourth Proportional to 81,158.70, 121,738.05 and 78,048.30

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Solution

The fourth proportional to 81,158.70, 121,738.05 and 78,048.30 is: 117,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,158.70 : 121,738.05 = 78,048.30 : x
  2. Step 2: Convert to fraction form
    81,158.70/121,738.05 = 78,048.30/x
  3. Step 3: Cross multiply
    81,158.70x = 121,738.05 × 78,048.30
  4. Step 4: Simplify right side
    81,158.70x = 9,501,447,847.82
  5. Step 5: Solve for x
    x = 9,501,447,847.82/81,158.70
  6. Step 6: Final answer
    x = 117,072.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.