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Finding the Fourth Proportional to 271,103, 406,490.40 and 121,315.34

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Solution

The fourth proportional to 271,103, 406,490.40 and 121,315.34 is: 181,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,103 : 406,490.40 = 121,315.34 : x
  2. Step 2: Convert to fraction form
    271,103/406,490.40 = 121,315.34/x
  3. Step 3: Cross multiply
    271,103x = 406,490.40 × 121,315.34
  4. Step 4: Simplify right side
    271,103x = 49,313,521,082.74
  5. Step 5: Solve for x
    x = 49,313,521,082.74/271,103
  6. Step 6: Final answer
    x = 181,899.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.