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Finding the Fourth Proportional to 195,697.25, 293,453.35 and 75,810.35

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Solution

The fourth proportional to 195,697.25, 293,453.35 and 75,810.35 is: 113,679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,697.25 : 293,453.35 = 75,810.35 : x
  2. Step 2: Convert to fraction form
    195,697.25/293,453.35 = 75,810.35/x
  3. Step 3: Cross multiply
    195,697.25x = 293,453.35 × 75,810.35
  4. Step 4: Simplify right side
    195,697.25x = 22,246,801,444.23
  5. Step 5: Solve for x
    x = 22,246,801,444.23/195,697.25
  6. Step 6: Final answer
    x = 113,679.68

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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.