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Finding the Fourth Proportional to 206,988.72, 285,477.36 and 138,985.20

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Solution

The fourth proportional to 206,988.72, 285,477.36 and 138,985.20 is: 191,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,988.72 : 285,477.36 = 138,985.20 : x
  2. Step 2: Convert to fraction form
    206,988.72/285,477.36 = 138,985.20/x
  3. Step 3: Cross multiply
    206,988.72x = 285,477.36 × 138,985.20
  4. Step 4: Simplify right side
    206,988.72x = 39,677,127,975.07
  5. Step 5: Solve for x
    x = 39,677,127,975.07/206,988.72
  6. Step 6: Final answer
    x = 191,687.39

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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.