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Finding the Fourth Proportional to 243,220.27, 364,582.53 and 137,816.59

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Solution

The fourth proportional to 243,220.27, 364,582.53 and 137,816.59 is: 206,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,220.27 : 364,582.53 = 137,816.59 : x
  2. Step 2: Convert to fraction form
    243,220.27/364,582.53 = 137,816.59/x
  3. Step 3: Cross multiply
    243,220.27x = 364,582.53 × 137,816.59
  4. Step 4: Simplify right side
    243,220.27x = 50,245,521,058.17
  5. Step 5: Solve for x
    x = 50,245,521,058.17/243,220.27
  6. Step 6: Final answer
    x = 206,584.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.