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Finding the Fourth Proportional to 141,067.24, 211,693.02 and 67,201

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Solution

The fourth proportional to 141,067.24, 211,693.02 and 67,201 is: 100,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,067.24 : 211,693.02 = 67,201 : x
  2. Step 2: Convert to fraction form
    141,067.24/211,693.02 = 67,201/x
  3. Step 3: Cross multiply
    141,067.24x = 211,693.02 × 67,201
  4. Step 4: Simplify right side
    141,067.24x = 14,225,982,637.02
  5. Step 5: Solve for x
    x = 14,225,982,637.02/141,067.24
  6. Step 6: Final answer
    x = 100,845.40

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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.