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Finding the Fourth Proportional to 106,246.31, 159,318.63 and 61,885.71

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Solution

The fourth proportional to 106,246.31, 159,318.63 and 61,885.71 is: 92,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246.31 : 159,318.63 = 61,885.71 : x
  2. Step 2: Convert to fraction form
    106,246.31/159,318.63 = 61,885.71/x
  3. Step 3: Cross multiply
    106,246.31x = 159,318.63 × 61,885.71
  4. Step 4: Simplify right side
    106,246.31x = 9,859,546,533.78
  5. Step 5: Solve for x
    x = 9,859,546,533.78/106,246.31
  6. Step 6: Final answer
    x = 92,798.96

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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.