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Finding the Fourth Proportional to 195,894.97, 293,953.17 and 83,564.58

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Solution

The fourth proportional to 195,894.97, 293,953.17 and 83,564.58 is: 125,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,894.97 : 293,953.17 = 83,564.58 : x
  2. Step 2: Convert to fraction form
    195,894.97/293,953.17 = 83,564.58/x
  3. Step 3: Cross multiply
    195,894.97x = 293,953.17 × 83,564.58
  4. Step 4: Simplify right side
    195,894.97x = 24,564,071,720.95
  5. Step 5: Solve for x
    x = 24,564,071,720.95/195,894.97
  6. Step 6: Final answer
    x = 125,394.09

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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.