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Finding the Fourth Proportional to 110,963.60, 166,623.60 and 102,777.20

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Solution

The fourth proportional to 110,963.60, 166,623.60 and 102,777.20 is: 154,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,963.60 : 166,623.60 = 102,777.20 : x
  2. Step 2: Convert to fraction form
    110,963.60/166,623.60 = 102,777.20/x
  3. Step 3: Cross multiply
    110,963.60x = 166,623.60 × 102,777.20
  4. Step 4: Simplify right side
    110,963.60x = 17,125,107,061.92
  5. Step 5: Solve for x
    x = 17,125,107,061.92/110,963.60
  6. Step 6: Final answer
    x = 154,330.85

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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.