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Finding the Fourth Proportional to 164,849.92, 247,072.20 and 75,980.08

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Solution

The fourth proportional to 164,849.92, 247,072.20 and 75,980.08 is: 113,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,849.92 : 247,072.20 = 75,980.08 : x
  2. Step 2: Convert to fraction form
    164,849.92/247,072.20 = 75,980.08/x
  3. Step 3: Cross multiply
    164,849.92x = 247,072.20 × 75,980.08
  4. Step 4: Simplify right side
    164,849.92x = 18,772,565,521.78
  5. Step 5: Solve for x
    x = 18,772,565,521.78/164,849.92
  6. Step 6: Final answer
    x = 113,876.70

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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.