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Finding the Fourth Proportional to 102,856.84, 141,940.56 and 58,144.84

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Solution

The fourth proportional to 102,856.84, 141,940.56 and 58,144.84 is: 80,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.84 : 141,940.56 = 58,144.84 : x
  2. Step 2: Convert to fraction form
    102,856.84/141,940.56 = 58,144.84/x
  3. Step 3: Cross multiply
    102,856.84x = 141,940.56 × 58,144.84
  4. Step 4: Simplify right side
    102,856.84x = 8,253,111,150.71
  5. Step 5: Solve for x
    x = 8,253,111,150.71/102,856.84
  6. Step 6: Final answer
    x = 80,238.82

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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.