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Finding the Fourth Proportional to 141,068.24, 211,694.52 and 67,202

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Solution

The fourth proportional to 141,068.24, 211,694.52 and 67,202 is: 100,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,068.24 : 211,694.52 = 67,202 : x
  2. Step 2: Convert to fraction form
    141,068.24/211,694.52 = 67,202/x
  3. Step 3: Cross multiply
    141,068.24x = 211,694.52 × 67,202
  4. Step 4: Simplify right side
    141,068.24x = 14,226,295,133.04
  5. Step 5: Solve for x
    x = 14,226,295,133.04/141,068.24
  6. Step 6: Final answer
    x = 100,846.90

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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.