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Finding the Fourth Proportional to 106,509.76, 159,414.48 and 94,845.76

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Solution

The fourth proportional to 106,509.76, 159,414.48 and 94,845.76 is: 141,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,509.76 : 159,414.48 = 94,845.76 : x
  2. Step 2: Convert to fraction form
    106,509.76/159,414.48 = 94,845.76/x
  3. Step 3: Cross multiply
    106,509.76x = 159,414.48 × 94,845.76
  4. Step 4: Simplify right side
    106,509.76x = 15,119,787,510.60
  5. Step 5: Solve for x
    x = 15,119,787,510.60/106,509.76
  6. Step 6: Final answer
    x = 141,956.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.