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Finding the Fourth Proportional to 141,282, 194,971.32 and 77,621.04

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Solution

The fourth proportional to 141,282, 194,971.32 and 77,621.04 is: 107,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,282 : 194,971.32 = 77,621.04 : x
  2. Step 2: Convert to fraction form
    141,282/194,971.32 = 77,621.04/x
  3. Step 3: Cross multiply
    141,282x = 194,971.32 × 77,621.04
  4. Step 4: Simplify right side
    141,282x = 15,133,876,628.57
  5. Step 5: Solve for x
    x = 15,133,876,628.57/141,282
  6. Step 6: Final answer
    x = 107,118.22

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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.