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Finding the Fourth Proportional to 147,046, 220,569 and 36,238

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Solution

The fourth proportional to 147,046, 220,569 and 36,238 is: 54,357

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,046 : 220,569 = 36,238 : x
  2. Step 2: Convert to fraction form
    147,046/220,569 = 36,238/x
  3. Step 3: Cross multiply
    147,046x = 220,569 × 36,238
  4. Step 4: Simplify right side
    147,046x = 7,992,979,422
  5. Step 5: Solve for x
    x = 7,992,979,422/147,046
  6. Step 6: Final answer
    x = 54,357

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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.