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Finding the Fourth Proportional to 147,906, 221,859 and 49,410

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Solution

The fourth proportional to 147,906, 221,859 and 49,410 is: 74,115

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,906 : 221,859 = 49,410 : x
  2. Step 2: Convert to fraction form
    147,906/221,859 = 49,410/x
  3. Step 3: Cross multiply
    147,906x = 221,859 × 49,410
  4. Step 4: Simplify right side
    147,906x = 10,962,053,190
  5. Step 5: Solve for x
    x = 10,962,053,190/147,906
  6. Step 6: Final answer
    x = 74,115

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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.