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Finding the Fourth Proportional to 145,221.96, 200,408.88 and 80,697.16

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Solution

The fourth proportional to 145,221.96, 200,408.88 and 80,697.16 is: 111,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,221.96 : 200,408.88 = 80,697.16 : x
  2. Step 2: Convert to fraction form
    145,221.96/200,408.88 = 80,697.16/x
  3. Step 3: Cross multiply
    145,221.96x = 200,408.88 × 80,697.16
  4. Step 4: Simplify right side
    145,221.96x = 16,172,428,007.91
  5. Step 5: Solve for x
    x = 16,172,428,007.91/145,221.96
  6. Step 6: Final answer
    x = 111,363.51

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