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Finding the Fourth Proportional to 106,728.92, 160,121.05 and 56,767.92

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Solution

The fourth proportional to 106,728.92, 160,121.05 and 56,767.92 is: 85,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,728.92 : 160,121.05 = 56,767.92 : x
  2. Step 2: Convert to fraction form
    106,728.92/160,121.05 = 56,767.92/x
  3. Step 3: Cross multiply
    106,728.92x = 160,121.05 × 56,767.92
  4. Step 4: Simplify right side
    106,728.92x = 9,089,739,434.34
  5. Step 5: Solve for x
    x = 9,089,739,434.34/106,728.92
  6. Step 6: Final answer
    x = 85,166.60

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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.