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Finding the Fourth Proportional to 147,262, 220,893 and 36,454

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Solution

The fourth proportional to 147,262, 220,893 and 36,454 is: 54,681

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,262 : 220,893 = 36,454 : x
  2. Step 2: Convert to fraction form
    147,262/220,893 = 36,454/x
  3. Step 3: Cross multiply
    147,262x = 220,893 × 36,454
  4. Step 4: Simplify right side
    147,262x = 8,052,433,422
  5. Step 5: Solve for x
    x = 8,052,433,422/147,262
  6. Step 6: Final answer
    x = 54,681

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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.