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Finding the Fourth Proportional to 102,856.94, 141,935.90 and 57,527.07

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Solution

The fourth proportional to 102,856.94, 141,935.90 and 57,527.07 is: 79,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.94 : 141,935.90 = 57,527.07 : x
  2. Step 2: Convert to fraction form
    102,856.94/141,935.90 = 57,527.07/x
  3. Step 3: Cross multiply
    102,856.94x = 141,935.90 × 57,527.07
  4. Step 4: Simplify right side
    102,856.94x = 8,165,156,454.81
  5. Step 5: Solve for x
    x = 8,165,156,454.81/102,856.94
  6. Step 6: Final answer
    x = 79,383.62

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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.