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Finding the Fourth Proportional to 271,583.31, 374,830.02 and 158,406.06

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Solution

The fourth proportional to 271,583.31, 374,830.02 and 158,406.06 is: 218,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,583.31 : 374,830.02 = 158,406.06 : x
  2. Step 2: Convert to fraction form
    271,583.31/374,830.02 = 158,406.06/x
  3. Step 3: Cross multiply
    271,583.31x = 374,830.02 × 158,406.06
  4. Step 4: Simplify right side
    271,583.31x = 59,375,346,637.92
  5. Step 5: Solve for x
    x = 59,375,346,637.92/271,583.31
  6. Step 6: Final answer
    x = 218,626.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.