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Finding the Fourth Proportional to 110,970.20, 166,497.20 and 66,627.87

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Solution

The fourth proportional to 110,970.20, 166,497.20 and 66,627.87 is: 99,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970.20 : 166,497.20 = 66,627.87 : x
  2. Step 2: Convert to fraction form
    110,970.20/166,497.20 = 66,627.87/x
  3. Step 3: Cross multiply
    110,970.20x = 166,497.20 × 66,627.87
  4. Step 4: Simplify right side
    110,970.20x = 11,093,353,463.82
  5. Step 5: Solve for x
    x = 11,093,353,463.82/110,970.20
  6. Step 6: Final answer
    x = 99,966.96

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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.