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Finding the Fourth Proportional to 101,771.64, 152,396.34 and 66,608.76

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Solution

The fourth proportional to 101,771.64, 152,396.34 and 66,608.76 is: 99,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,771.64 : 152,396.34 = 66,608.76 : x
  2. Step 2: Convert to fraction form
    101,771.64/152,396.34 = 66,608.76/x
  3. Step 3: Cross multiply
    101,771.64x = 152,396.34 × 66,608.76
  4. Step 4: Simplify right side
    101,771.64x = 10,150,931,235.94
  5. Step 5: Solve for x
    x = 10,150,931,235.94/101,771.64
  6. Step 6: Final answer
    x = 99,742.24

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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.