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Finding the Fourth Proportional to 137,195.60, 205,816.26 and 47,234.84

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Solution

The fourth proportional to 137,195.60, 205,816.26 and 47,234.84 is: 70,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,195.60 : 205,816.26 = 47,234.84 : x
  2. Step 2: Convert to fraction form
    137,195.60/205,816.26 = 47,234.84/x
  3. Step 3: Cross multiply
    137,195.60x = 205,816.26 × 47,234.84
  4. Step 4: Simplify right side
    137,195.60x = 9,721,698,110.50
  5. Step 5: Solve for x
    x = 9,721,698,110.50/137,195.60
  6. Step 6: Final answer
    x = 70,860.13

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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.