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Finding the Fourth Proportional to 206,410.32, 284,725.27 and 129,807.91

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Solution

The fourth proportional to 206,410.32, 284,725.27 and 129,807.91 is: 179,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,410.32 : 284,725.27 = 129,807.91 : x
  2. Step 2: Convert to fraction form
    206,410.32/284,725.27 = 129,807.91/x
  3. Step 3: Cross multiply
    206,410.32x = 284,725.27 × 129,807.91
  4. Step 4: Simplify right side
    206,410.32x = 36,959,592,222.89
  5. Step 5: Solve for x
    x = 36,959,592,222.89/206,410.32
  6. Step 6: Final answer
    x = 179,058.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.