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Finding the Fourth Proportional to 109,803.20, 164,704.80 and 72,867.20

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Solution

The fourth proportional to 109,803.20, 164,704.80 and 72,867.20 is: 109,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,803.20 : 164,704.80 = 72,867.20 : x
  2. Step 2: Convert to fraction form
    109,803.20/164,704.80 = 72,867.20/x
  3. Step 3: Cross multiply
    109,803.20x = 164,704.80 × 72,867.20
  4. Step 4: Simplify right side
    109,803.20x = 12,001,577,602.56
  5. Step 5: Solve for x
    x = 12,001,577,602.56/109,803.20
  6. Step 6: Final answer
    x = 109,300.80

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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.