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Finding the Fourth Proportional to 100,897.80, 151,433.10 and 44,824.20

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Solution

The fourth proportional to 100,897.80, 151,433.10 and 44,824.20 is: 67,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897.80 : 151,433.10 = 44,824.20 : x
  2. Step 2: Convert to fraction form
    100,897.80/151,433.10 = 44,824.20/x
  3. Step 3: Cross multiply
    100,897.80x = 151,433.10 × 44,824.20
  4. Step 4: Simplify right side
    100,897.80x = 6,787,867,561.02
  5. Step 5: Solve for x
    x = 6,787,867,561.02/100,897.80
  6. Step 6: Final answer
    x = 67,274.68

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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.