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Finding the Fourth Proportional to 100,704.98, 150,827.70 and 48,151.64

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Solution

The fourth proportional to 100,704.98, 150,827.70 and 48,151.64 is: 72,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,704.98 : 150,827.70 = 48,151.64 : x
  2. Step 2: Convert to fraction form
    100,704.98/150,827.70 = 48,151.64/x
  3. Step 3: Cross multiply
    100,704.98x = 150,827.70 × 48,151.64
  4. Step 4: Simplify right side
    100,704.98x = 7,262,601,112.43
  5. Step 5: Solve for x
    x = 7,262,601,112.43/100,704.98
  6. Step 6: Final answer
    x = 72,117.60

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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.