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Finding the Fourth Proportional to 106,765.76, 160,168.12 and 35,681.64

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Solution

The fourth proportional to 106,765.76, 160,168.12 and 35,681.64 is: 53,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,765.76 : 160,168.12 = 35,681.64 : x
  2. Step 2: Convert to fraction form
    106,765.76/160,168.12 = 35,681.64/x
  3. Step 3: Cross multiply
    106,765.76x = 160,168.12 × 35,681.64
  4. Step 4: Simplify right side
    106,765.76x = 5,715,061,197.32
  5. Step 5: Solve for x
    x = 5,715,061,197.32/106,765.76
  6. Step 6: Final answer
    x = 53,528.97

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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.