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Finding the Fourth Proportional to 195,562.80, 293,113.80 and 102,020.40

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Solution

The fourth proportional to 195,562.80, 293,113.80 and 102,020.40 is: 152,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,562.80 : 293,113.80 = 102,020.40 : x
  2. Step 2: Convert to fraction form
    195,562.80/293,113.80 = 102,020.40/x
  3. Step 3: Cross multiply
    195,562.80x = 293,113.80 × 102,020.40
  4. Step 4: Simplify right side
    195,562.80x = 29,903,587,121.52
  5. Step 5: Solve for x
    x = 29,903,587,121.52/195,562.80
  6. Step 6: Final answer
    x = 152,910.41

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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.