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Finding the Fourth Proportional to 141,027, 194,623.02 and 81,411

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Solution

The fourth proportional to 141,027, 194,623.02 and 81,411 is: 112,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,027 : 194,623.02 = 81,411 : x
  2. Step 2: Convert to fraction form
    141,027/194,623.02 = 81,411/x
  3. Step 3: Cross multiply
    141,027x = 194,623.02 × 81,411
  4. Step 4: Simplify right side
    141,027x = 15,844,454,681.22
  5. Step 5: Solve for x
    x = 15,844,454,681.22/141,027
  6. Step 6: Final answer
    x = 112,350.51

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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.