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Finding the Fourth Proportional to 271,641.12, 374,864.64 and 158,442

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Solution

The fourth proportional to 271,641.12, 374,864.64 and 158,442 is: 218,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,641.12 : 374,864.64 = 158,442 : x
  2. Step 2: Convert to fraction form
    271,641.12/374,864.64 = 158,442/x
  3. Step 3: Cross multiply
    271,641.12x = 374,864.64 × 158,442
  4. Step 4: Simplify right side
    271,641.12x = 59,394,303,290.88
  5. Step 5: Solve for x
    x = 59,394,303,290.88/271,641.12
  6. Step 6: Final answer
    x = 218,649.90

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