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Finding the Fourth Proportional to 147,397.50, 203,408.64 and 80,329.50

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Solution

The fourth proportional to 147,397.50, 203,408.64 and 80,329.50 is: 110,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,397.50 : 203,408.64 = 80,329.50 : x
  2. Step 2: Convert to fraction form
    147,397.50/203,408.64 = 80,329.50/x
  3. Step 3: Cross multiply
    147,397.50x = 203,408.64 × 80,329.50
  4. Step 4: Simplify right side
    147,397.50x = 16,339,714,346.88
  5. Step 5: Solve for x
    x = 16,339,714,346.88/147,397.50
  6. Step 6: Final answer
    x = 110,854.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.