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Finding the Fourth Proportional to 206,863.79, 285,374.36 and 176,970.24

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Solution

The fourth proportional to 206,863.79, 285,374.36 and 176,970.24 is: 244,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,863.79 : 285,374.36 = 176,970.24 : x
  2. Step 2: Convert to fraction form
    206,863.79/285,374.36 = 176,970.24/x
  3. Step 3: Cross multiply
    206,863.79x = 285,374.36 × 176,970.24
  4. Step 4: Simplify right side
    206,863.79x = 50,502,769,421.47
  5. Step 5: Solve for x
    x = 50,502,769,421.47/206,863.79
  6. Step 6: Final answer
    x = 244,135.38

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Why These Related Problems?

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