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Finding the Fourth Proportional to 154,574.52, 231,824.52 and 42,255.24

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Solution

The fourth proportional to 154,574.52, 231,824.52 and 42,255.24 is: 63,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,574.52 : 231,824.52 = 42,255.24 : x
  2. Step 2: Convert to fraction form
    154,574.52/231,824.52 = 42,255.24/x
  3. Step 3: Cross multiply
    154,574.52x = 231,824.52 × 42,255.24
  4. Step 4: Simplify right side
    154,574.52x = 9,795,800,730.48
  5. Step 5: Solve for x
    x = 9,795,800,730.48/154,574.52
  6. Step 6: Final answer
    x = 63,372.67

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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.