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Finding the Fourth Proportional to 141,002, 194,590.44 and 81,405.20

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Solution

The fourth proportional to 141,002, 194,590.44 and 81,405.20 is: 112,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,002 : 194,590.44 = 81,405.20 : x
  2. Step 2: Convert to fraction form
    141,002/194,590.44 = 81,405.20/x
  3. Step 3: Cross multiply
    141,002x = 194,590.44 × 81,405.20
  4. Step 4: Simplify right side
    141,002x = 15,840,673,686.29
  5. Step 5: Solve for x
    x = 15,840,673,686.29/141,002
  6. Step 6: Final answer
    x = 112,343.61

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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.