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Finding the Fourth Proportional to 137,349.34, 206,040.34 and 48,584.68

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Solution

The fourth proportional to 137,349.34, 206,040.34 and 48,584.68 is: 72,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,349.34 : 206,040.34 = 48,584.68 : x
  2. Step 2: Convert to fraction form
    137,349.34/206,040.34 = 48,584.68/x
  3. Step 3: Cross multiply
    137,349.34x = 206,040.34 × 48,584.68
  4. Step 4: Simplify right side
    137,349.34x = 10,010,403,985.99
  5. Step 5: Solve for x
    x = 10,010,403,985.99/137,349.34
  6. Step 6: Final answer
    x = 72,882.80

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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.