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Finding the Fourth Proportional to 106,872.30, 160,316.80 and 35,795.20

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Solution

The fourth proportional to 106,872.30, 160,316.80 and 35,795.20 is: 53,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,872.30 : 160,316.80 = 35,795.20 : x
  2. Step 2: Convert to fraction form
    106,872.30/160,316.80 = 35,795.20/x
  3. Step 3: Cross multiply
    106,872.30x = 160,316.80 × 35,795.20
  4. Step 4: Simplify right side
    106,872.30x = 5,738,571,919.36
  5. Step 5: Solve for x
    x = 5,738,571,919.36/106,872.30
  6. Step 6: Final answer
    x = 53,695.60

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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.