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Finding the Fourth Proportional to 383,137.76, 574,706.80 and 158,251.06

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Solution

The fourth proportional to 383,137.76, 574,706.80 and 158,251.06 is: 237,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,137.76 : 574,706.80 = 158,251.06 : x
  2. Step 2: Convert to fraction form
    383,137.76/574,706.80 = 158,251.06/x
  3. Step 3: Cross multiply
    383,137.76x = 574,706.80 × 158,251.06
  4. Step 4: Simplify right side
    383,137.76x = 90,947,960,289.21
  5. Step 5: Solve for x
    x = 90,947,960,289.21/383,137.76
  6. Step 6: Final answer
    x = 237,376.66

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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.