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Finding the Fourth Proportional to 131,470.80, 197,206.20 and 64,942.80

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Solution

The fourth proportional to 131,470.80, 197,206.20 and 64,942.80 is: 97,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470.80 : 197,206.20 = 64,942.80 : x
  2. Step 2: Convert to fraction form
    131,470.80/197,206.20 = 64,942.80/x
  3. Step 3: Cross multiply
    131,470.80x = 197,206.20 × 64,942.80
  4. Step 4: Simplify right side
    131,470.80x = 12,807,122,805.36
  5. Step 5: Solve for x
    x = 12,807,122,805.36/131,470.80
  6. Step 6: Final answer
    x = 97,414.20

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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.