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Finding the Fourth Proportional to 271,829.64, 375,129.54 and 149,327.18

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Solution

The fourth proportional to 271,829.64, 375,129.54 and 149,327.18 is: 206,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,829.64 : 375,129.54 = 149,327.18 : x
  2. Step 2: Convert to fraction form
    271,829.64/375,129.54 = 149,327.18/x
  3. Step 3: Cross multiply
    271,829.64x = 375,129.54 × 149,327.18
  4. Step 4: Simplify right side
    271,829.64x = 56,017,036,342.90
  5. Step 5: Solve for x
    x = 56,017,036,342.90/271,829.64
  6. Step 6: Final answer
    x = 206,074.06

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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.