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Finding the Fourth Proportional to 233,190.92, 349,818.96 and 114,863.24

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Solution

The fourth proportional to 233,190.92, 349,818.96 and 114,863.24 is: 172,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,190.92 : 349,818.96 = 114,863.24 : x
  2. Step 2: Convert to fraction form
    233,190.92/349,818.96 = 114,863.24/x
  3. Step 3: Cross multiply
    233,190.92x = 349,818.96 × 114,863.24
  4. Step 4: Simplify right side
    233,190.92x = 40,181,339,159.03
  5. Step 5: Solve for x
    x = 40,181,339,159.03/233,190.92
  6. Step 6: Final answer
    x = 172,310.91

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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.