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Finding the Fourth Proportional to 195,903.60, 293,966.13 and 83,573.21

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Solution

The fourth proportional to 195,903.60, 293,966.13 and 83,573.21 is: 125,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,903.60 : 293,966.13 = 83,573.21 : x
  2. Step 2: Convert to fraction form
    195,903.60/293,966.13 = 83,573.21/x
  3. Step 3: Cross multiply
    195,903.60x = 293,966.13 × 83,573.21
  4. Step 4: Simplify right side
    195,903.60x = 24,567,691,645.55
  5. Step 5: Solve for x
    x = 24,567,691,645.55/195,903.60
  6. Step 6: Final answer
    x = 125,407.05

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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.