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Finding the Fourth Proportional to 150,767, 226,254.18 and 52,271

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Solution

The fourth proportional to 150,767, 226,254.18 and 52,271 is: 78,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,767 : 226,254.18 = 52,271 : x
  2. Step 2: Convert to fraction form
    150,767/226,254.18 = 52,271/x
  3. Step 3: Cross multiply
    150,767x = 226,254.18 × 52,271
  4. Step 4: Simplify right side
    150,767x = 11,826,532,242.78
  5. Step 5: Solve for x
    x = 11,826,532,242.78/150,767
  6. Step 6: Final answer
    x = 78,442.45

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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.