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Finding the Fourth Proportional to 137,314.60, 205,856.70 and 71,650.60

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Solution

The fourth proportional to 137,314.60, 205,856.70 and 71,650.60 is: 107,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314.60 : 205,856.70 = 71,650.60 : x
  2. Step 2: Convert to fraction form
    137,314.60/205,856.70 = 71,650.60/x
  3. Step 3: Cross multiply
    137,314.60x = 205,856.70 × 71,650.60
  4. Step 4: Simplify right side
    137,314.60x = 14,749,756,069.02
  5. Step 5: Solve for x
    x = 14,749,756,069.02/137,314.60
  6. Step 6: Final answer
    x = 107,415.79

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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.