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Finding the Fourth Proportional to 106,794.23, 160,112.25 and 64,664.41

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Solution

The fourth proportional to 106,794.23, 160,112.25 and 64,664.41 is: 96,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,794.23 : 160,112.25 = 64,664.41 : x
  2. Step 2: Convert to fraction form
    106,794.23/160,112.25 = 64,664.41/x
  3. Step 3: Cross multiply
    106,794.23x = 160,112.25 × 64,664.41
  4. Step 4: Simplify right side
    106,794.23x = 10,353,564,180.02
  5. Step 5: Solve for x
    x = 10,353,564,180.02/106,794.23
  6. Step 6: Final answer
    x = 96,948.72

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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.