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Finding the Fourth Proportional to 114,230.70, 171,346.05 and 76,905.90

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Solution

The fourth proportional to 114,230.70, 171,346.05 and 76,905.90 is: 115,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230.70 : 171,346.05 = 76,905.90 : x
  2. Step 2: Convert to fraction form
    114,230.70/171,346.05 = 76,905.90/x
  3. Step 3: Cross multiply
    114,230.70x = 171,346.05 × 76,905.90
  4. Step 4: Simplify right side
    114,230.70x = 13,177,522,186.70
  5. Step 5: Solve for x
    x = 13,177,522,186.70/114,230.70
  6. Step 6: Final answer
    x = 115,358.85

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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.