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Finding the Fourth Proportional to 137,074.44, 205,628.07 and 48,309.57

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Solution

The fourth proportional to 137,074.44, 205,628.07 and 48,309.57 is: 72,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.44 : 205,628.07 = 48,309.57 : x
  2. Step 2: Convert to fraction form
    137,074.44/205,628.07 = 48,309.57/x
  3. Step 3: Cross multiply
    137,074.44x = 205,628.07 × 48,309.57
  4. Step 4: Simplify right side
    137,074.44x = 9,933,803,641.63
  5. Step 5: Solve for x
    x = 9,933,803,641.63/137,074.44
  6. Step 6: Final answer
    x = 72,470.14

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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.