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Finding the Fourth Proportional to 208,523.50, 288,001.58 and 137,221.83

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Solution

The fourth proportional to 208,523.50, 288,001.58 and 137,221.83 is: 189,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,523.50 : 288,001.58 = 137,221.83 : x
  2. Step 2: Convert to fraction form
    208,523.50/288,001.58 = 137,221.83/x
  3. Step 3: Cross multiply
    208,523.50x = 288,001.58 × 137,221.83
  4. Step 4: Simplify right side
    208,523.50x = 39,520,103,164.38
  5. Step 5: Solve for x
    x = 39,520,103,164.38/208,523.50
  6. Step 6: Final answer
    x = 189,523.50

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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.