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Finding the Fourth Proportional to 136,730.30, 205,095.45 and 80,512.70

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Solution

The fourth proportional to 136,730.30, 205,095.45 and 80,512.70 is: 120,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,730.30 : 205,095.45 = 80,512.70 : x
  2. Step 2: Convert to fraction form
    136,730.30/205,095.45 = 80,512.70/x
  3. Step 3: Cross multiply
    136,730.30x = 205,095.45 × 80,512.70
  4. Step 4: Simplify right side
    136,730.30x = 16,512,788,437.22
  5. Step 5: Solve for x
    x = 16,512,788,437.22/136,730.30
  6. Step 6: Final answer
    x = 120,769.05

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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.