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Finding the Fourth Proportional to 164,951.92, 247,225.20 and 76,082.08

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Solution

The fourth proportional to 164,951.92, 247,225.20 and 76,082.08 is: 114,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,951.92 : 247,225.20 = 76,082.08 : x
  2. Step 2: Convert to fraction form
    164,951.92/247,225.20 = 76,082.08/x
  3. Step 3: Cross multiply
    164,951.92x = 247,225.20 × 76,082.08
  4. Step 4: Simplify right side
    164,951.92x = 18,809,407,444.42
  5. Step 5: Solve for x
    x = 18,809,407,444.42/164,951.92
  6. Step 6: Final answer
    x = 114,029.64

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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.