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Finding the Fourth Proportional to 195,378.80, 293,065 and 62,257.24

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Solution

The fourth proportional to 195,378.80, 293,065 and 62,257.24 is: 93,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,378.80 : 293,065 = 62,257.24 : x
  2. Step 2: Convert to fraction form
    195,378.80/293,065 = 62,257.24/x
  3. Step 3: Cross multiply
    195,378.80x = 293,065 × 62,257.24
  4. Step 4: Simplify right side
    195,378.80x = 18,245,418,040.60
  5. Step 5: Solve for x
    x = 18,245,418,040.60/195,378.80
  6. Step 6: Final answer
    x = 93,384.84

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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.