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Finding the Fourth Proportional to 106,827.39, 160,128.09 and 40,238.71

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Solution

The fourth proportional to 106,827.39, 160,128.09 and 40,238.71 is: 60,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,827.39 : 160,128.09 = 40,238.71 : x
  2. Step 2: Convert to fraction form
    106,827.39/160,128.09 = 40,238.71/x
  3. Step 3: Cross multiply
    106,827.39x = 160,128.09 × 40,238.71
  4. Step 4: Simplify right side
    106,827.39x = 6,443,347,376.04
  5. Step 5: Solve for x
    x = 6,443,347,376.04/106,827.39
  6. Step 6: Final answer
    x = 60,315.50

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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.