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Finding the Fourth Proportional to 141,273, 194,974.02 and 81,657

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Solution

The fourth proportional to 141,273, 194,974.02 and 81,657 is: 112,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,273 : 194,974.02 = 81,657 : x
  2. Step 2: Convert to fraction form
    141,273/194,974.02 = 81,657/x
  3. Step 3: Cross multiply
    141,273x = 194,974.02 × 81,657
  4. Step 4: Simplify right side
    141,273x = 15,920,993,551.14
  5. Step 5: Solve for x
    x = 15,920,993,551.14/141,273
  6. Step 6: Final answer
    x = 112,696.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.