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Finding the Fourth Proportional to 312,015.76, 468,082.10 and 125,041.84

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Solution

The fourth proportional to 312,015.76, 468,082.10 and 125,041.84 is: 187,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,015.76 : 468,082.10 = 125,041.84 : x
  2. Step 2: Convert to fraction form
    312,015.76/468,082.10 = 125,041.84/x
  3. Step 3: Cross multiply
    312,015.76x = 468,082.10 × 125,041.84
  4. Step 4: Simplify right side
    312,015.76x = 58,529,846,429.85
  5. Step 5: Solve for x
    x = 58,529,846,429.85/312,015.76
  6. Step 6: Final answer
    x = 187,586.19

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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.