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Finding the Fourth Proportional to 233,581.76, 350,314.32 and 75,855.36

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Solution

The fourth proportional to 233,581.76, 350,314.32 and 75,855.36 is: 113,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,581.76 : 350,314.32 = 75,855.36 : x
  2. Step 2: Convert to fraction form
    233,581.76/350,314.32 = 75,855.36/x
  3. Step 3: Cross multiply
    233,581.76x = 350,314.32 × 75,855.36
  4. Step 4: Simplify right side
    233,581.76x = 26,573,218,856.76
  5. Step 5: Solve for x
    x = 26,573,218,856.76/233,581.76
  6. Step 6: Final answer
    x = 113,764.10

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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.