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Finding the Fourth Proportional to 229,076.82, 343,264.52 and 95,884.56

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Solution

The fourth proportional to 229,076.82, 343,264.52 and 95,884.56 is: 143,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,076.82 : 343,264.52 = 95,884.56 : x
  2. Step 2: Convert to fraction form
    229,076.82/343,264.52 = 95,884.56/x
  3. Step 3: Cross multiply
    229,076.82x = 343,264.52 × 95,884.56
  4. Step 4: Simplify right side
    229,076.82x = 32,913,767,703.52
  5. Step 5: Solve for x
    x = 32,913,767,703.52/229,076.82
  6. Step 6: Final answer
    x = 143,680.04

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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.