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Finding the Fourth Proportional to 271,278.82, 374,364.13 and 150,417

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Solution

The fourth proportional to 271,278.82, 374,364.13 and 150,417 is: 207,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,278.82 : 374,364.13 = 150,417 : x
  2. Step 2: Convert to fraction form
    271,278.82/374,364.13 = 150,417/x
  3. Step 3: Cross multiply
    271,278.82x = 374,364.13 × 150,417
  4. Step 4: Simplify right side
    271,278.82x = 56,310,729,248.20
  5. Step 5: Solve for x
    x = 56,310,729,248.20/271,278.82
  6. Step 6: Final answer
    x = 207,575.10

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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.