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Finding the Fourth Proportional to 195,470.80, 293,206.20 and 177,974.80

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Solution

The fourth proportional to 195,470.80, 293,206.20 and 177,974.80 is: 266,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,470.80 : 293,206.20 = 177,974.80 : x
  2. Step 2: Convert to fraction form
    195,470.80/293,206.20 = 177,974.80/x
  3. Step 3: Cross multiply
    195,470.80x = 293,206.20 × 177,974.80
  4. Step 4: Simplify right side
    195,470.80x = 52,183,314,803.76
  5. Step 5: Solve for x
    x = 52,183,314,803.76/195,470.80
  6. Step 6: Final answer
    x = 266,962.20

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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.