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Finding the Fourth Proportional to 147,361.68, 221,073.24 and 48,858

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Solution

The fourth proportional to 147,361.68, 221,073.24 and 48,858 is: 73,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,361.68 : 221,073.24 = 48,858 : x
  2. Step 2: Convert to fraction form
    147,361.68/221,073.24 = 48,858/x
  3. Step 3: Cross multiply
    147,361.68x = 221,073.24 × 48,858
  4. Step 4: Simplify right side
    147,361.68x = 10,801,196,359.92
  5. Step 5: Solve for x
    x = 10,801,196,359.92/147,361.68
  6. Step 6: Final answer
    x = 73,297.19

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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.