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Finding the Fourth Proportional to 152,540.28, 228,873.24 and 67,107.24

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Solution

The fourth proportional to 152,540.28, 228,873.24 and 67,107.24 is: 100,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,540.28 : 228,873.24 = 67,107.24 : x
  2. Step 2: Convert to fraction form
    152,540.28/228,873.24 = 67,107.24/x
  3. Step 3: Cross multiply
    152,540.28x = 228,873.24 × 67,107.24
  4. Step 4: Simplify right side
    152,540.28x = 15,359,051,446.26
  5. Step 5: Solve for x
    x = 15,359,051,446.26/152,540.28
  6. Step 6: Final answer
    x = 100,688.50

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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.