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Finding the Fourth Proportional to 115,105.73, 158,870.41 and 77,358.11

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Solution

The fourth proportional to 115,105.73, 158,870.41 and 77,358.11 is: 106,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,105.73 : 158,870.41 = 77,358.11 : x
  2. Step 2: Convert to fraction form
    115,105.73/158,870.41 = 77,358.11/x
  3. Step 3: Cross multiply
    115,105.73x = 158,870.41 × 77,358.11
  4. Step 4: Simplify right side
    115,105.73x = 12,289,913,664.78
  5. Step 5: Solve for x
    x = 12,289,913,664.78/115,105.73
  6. Step 6: Final answer
    x = 106,770.66

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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.