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Finding the Fourth Proportional to 147,444, 221,166 and 48,948

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Solution

The fourth proportional to 147,444, 221,166 and 48,948 is: 73,422

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,444 : 221,166 = 48,948 : x
  2. Step 2: Convert to fraction form
    147,444/221,166 = 48,948/x
  3. Step 3: Cross multiply
    147,444x = 221,166 × 48,948
  4. Step 4: Simplify right side
    147,444x = 10,825,633,368
  5. Step 5: Solve for x
    x = 10,825,633,368/147,444
  6. Step 6: Final answer
    x = 73,422

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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.