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Finding the Fourth Proportional to 195,800.98, 293,701.70 and 53,647.46

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Solution

The fourth proportional to 195,800.98, 293,701.70 and 53,647.46 is: 80,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,800.98 : 293,701.70 = 53,647.46 : x
  2. Step 2: Convert to fraction form
    195,800.98/293,701.70 = 53,647.46/x
  3. Step 3: Cross multiply
    195,800.98x = 293,701.70 × 53,647.46
  4. Step 4: Simplify right side
    195,800.98x = 15,756,350,202.68
  5. Step 5: Solve for x
    x = 15,756,350,202.68/195,800.98
  6. Step 6: Final answer
    x = 80,471.25

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1.5x scale

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.