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Finding the Fourth Proportional to 195,695.66, 293,450.96 and 75,808.77

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Solution

The fourth proportional to 195,695.66, 293,450.96 and 75,808.77 is: 113,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,695.66 : 293,450.96 = 75,808.77 : x
  2. Step 2: Convert to fraction form
    195,695.66/293,450.96 = 75,808.77/x
  3. Step 3: Cross multiply
    195,695.66x = 293,450.96 × 75,808.77
  4. Step 4: Simplify right side
    195,695.66x = 22,246,155,422.00
  5. Step 5: Solve for x
    x = 22,246,155,422.00/195,695.66
  6. Step 6: Final answer
    x = 113,677.30

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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.