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Finding the Fourth Proportional to 233,138.92, 349,700.08 and 75,363.24

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Solution

The fourth proportional to 233,138.92, 349,700.08 and 75,363.24 is: 113,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,138.92 : 349,700.08 = 75,363.24 : x
  2. Step 2: Convert to fraction form
    233,138.92/349,700.08 = 75,363.24/x
  3. Step 3: Cross multiply
    233,138.92x = 349,700.08 × 75,363.24
  4. Step 4: Simplify right side
    233,138.92x = 26,354,531,057.06
  5. Step 5: Solve for x
    x = 26,354,531,057.06/233,138.92
  6. Step 6: Final answer
    x = 113,042.18

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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.