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Finding the Fourth Proportional to 195,686.95, 293,653.95 and 83,367.22

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Solution

The fourth proportional to 195,686.95, 293,653.95 and 83,367.22 is: 125,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,686.95 : 293,653.95 = 83,367.22 : x
  2. Step 2: Convert to fraction form
    195,686.95/293,653.95 = 83,367.22/x
  3. Step 3: Cross multiply
    195,686.95x = 293,653.95 × 83,367.22
  4. Step 4: Simplify right side
    195,686.95x = 24,481,113,453.52
  5. Step 5: Solve for x
    x = 24,481,113,453.52/195,686.95
  6. Step 6: Final answer
    x = 125,103.45

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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.