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Finding the Fourth Proportional to 195,654.65, 293,434.77 and 81,740.93

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Solution

The fourth proportional to 195,654.65, 293,434.77 and 81,740.93 is: 122,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,654.65 : 293,434.77 = 81,740.93 : x
  2. Step 2: Convert to fraction form
    195,654.65/293,434.77 = 81,740.93/x
  3. Step 3: Cross multiply
    195,654.65x = 293,434.77 × 81,740.93
  4. Step 4: Simplify right side
    195,654.65x = 23,985,629,526.96
  5. Step 5: Solve for x
    x = 23,985,629,526.96/195,654.65
  6. Step 6: Final answer
    x = 122,591.66

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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.