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Finding the Fourth Proportional to 141,066.24, 211,691.52 and 67,200

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Solution

The fourth proportional to 141,066.24, 211,691.52 and 67,200 is: 100,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,066.24 : 211,691.52 = 67,200 : x
  2. Step 2: Convert to fraction form
    141,066.24/211,691.52 = 67,200/x
  3. Step 3: Cross multiply
    141,066.24x = 211,691.52 × 67,200
  4. Step 4: Simplify right side
    141,066.24x = 14,225,670,144
  5. Step 5: Solve for x
    x = 14,225,670,144/141,066.24
  6. Step 6: Final answer
    x = 100,843.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.