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Finding the Fourth Proportional to 206,769, 285,205.14 and 149,312.64

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Solution

The fourth proportional to 206,769, 285,205.14 and 149,312.64 is: 205,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,769 : 285,205.14 = 149,312.64 : x
  2. Step 2: Convert to fraction form
    206,769/285,205.14 = 149,312.64/x
  3. Step 3: Cross multiply
    206,769x = 285,205.14 × 149,312.64
  4. Step 4: Simplify right side
    206,769x = 42,584,732,394.97
  5. Step 5: Solve for x
    x = 42,584,732,394.97/206,769
  6. Step 6: Final answer
    x = 205,953.18

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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.