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Finding the Fourth Proportional to 195,808.39, 293,733.08 and 83,500.47

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Solution

The fourth proportional to 195,808.39, 293,733.08 and 83,500.47 is: 125,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,808.39 : 293,733.08 = 83,500.47 : x
  2. Step 2: Convert to fraction form
    195,808.39/293,733.08 = 83,500.47/x
  3. Step 3: Cross multiply
    195,808.39x = 293,733.08 × 83,500.47
  4. Step 4: Simplify right side
    195,808.39x = 24,526,850,599.86
  5. Step 5: Solve for x
    x = 24,526,850,599.86/195,808.39
  6. Step 6: Final answer
    x = 125,259.45

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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.