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Finding the Fourth Proportional to 141,182, 194,831.16 and 81,566

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Solution

The fourth proportional to 141,182, 194,831.16 and 81,566 is: 112,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,182 : 194,831.16 = 81,566 : x
  2. Step 2: Convert to fraction form
    141,182/194,831.16 = 81,566/x
  3. Step 3: Cross multiply
    141,182x = 194,831.16 × 81,566
  4. Step 4: Simplify right side
    141,182x = 15,891,598,396.56
  5. Step 5: Solve for x
    x = 15,891,598,396.56/141,182
  6. Step 6: Final answer
    x = 112,561.08

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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.