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Finding the Fourth Proportional to 195,729.66, 293,501.88 and 75,842.82

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Solution

The fourth proportional to 195,729.66, 293,501.88 and 75,842.82 is: 113,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,729.66 : 293,501.88 = 75,842.82 : x
  2. Step 2: Convert to fraction form
    195,729.66/293,501.88 = 75,842.82/x
  3. Step 3: Cross multiply
    195,729.66x = 293,501.88 × 75,842.82
  4. Step 4: Simplify right side
    195,729.66x = 22,260,010,254.50
  5. Step 5: Solve for x
    x = 22,260,010,254.50/195,729.66
  6. Step 6: Final answer
    x = 113,728.34

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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.