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Finding the Fourth Proportional to 206,848.65, 285,441.53 and 114,963.66

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Solution

The fourth proportional to 206,848.65, 285,441.53 and 114,963.66 is: 158,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848.65 : 285,441.53 = 114,963.66 : x
  2. Step 2: Convert to fraction form
    206,848.65/285,441.53 = 114,963.66/x
  3. Step 3: Cross multiply
    206,848.65x = 285,441.53 × 114,963.66
  4. Step 4: Simplify right side
    206,848.65x = 32,815,402,429.98
  5. Step 5: Solve for x
    x = 32,815,402,429.98/206,848.65
  6. Step 6: Final answer
    x = 158,644.51

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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.