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Finding the Fourth Proportional to 147,914, 221,871 and 49,418

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Solution

The fourth proportional to 147,914, 221,871 and 49,418 is: 74,127

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,914 : 221,871 = 49,418 : x
  2. Step 2: Convert to fraction form
    147,914/221,871 = 49,418/x
  3. Step 3: Cross multiply
    147,914x = 221,871 × 49,418
  4. Step 4: Simplify right side
    147,914x = 10,964,421,078
  5. Step 5: Solve for x
    x = 10,964,421,078/147,914
  6. Step 6: Final answer
    x = 74,127

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.