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Finding the Fourth Proportional to 195,646.56, 293,507.76 and 83,324.88

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Solution

The fourth proportional to 195,646.56, 293,507.76 and 83,324.88 is: 125,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,646.56 : 293,507.76 = 83,324.88 : x
  2. Step 2: Convert to fraction form
    195,646.56/293,507.76 = 83,324.88/x
  3. Step 3: Cross multiply
    195,646.56x = 293,507.76 × 83,324.88
  4. Step 4: Simplify right side
    195,646.56x = 24,456,498,881.07
  5. Step 5: Solve for x
    x = 24,456,498,881.07/195,646.56
  6. Step 6: Final answer
    x = 125,003.47

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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.