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Finding the Fourth Proportional to 206,897.63, 308,535.89 and 205,005.84

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Solution

The fourth proportional to 206,897.63, 308,535.89 and 205,005.84 is: 305,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.63 : 308,535.89 = 205,005.84 : x
  2. Step 2: Convert to fraction form
    206,897.63/308,535.89 = 205,005.84/x
  3. Step 3: Cross multiply
    206,897.63x = 308,535.89 × 205,005.84
  4. Step 4: Simplify right side
    206,897.63x = 63,251,657,117.56
  5. Step 5: Solve for x
    x = 63,251,657,117.56/206,897.63
  6. Step 6: Final answer
    x = 305,714.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.