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Finding the Fourth Proportional to 271,208.61, 406,718.51 and 111,239.10

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Solution

The fourth proportional to 271,208.61, 406,718.51 and 111,239.10 is: 166,819.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,208.61 : 406,718.51 = 111,239.10 : x
  2. Step 2: Convert to fraction form
    271,208.61/406,718.51 = 111,239.10/x
  3. Step 3: Cross multiply
    271,208.61x = 406,718.51 × 111,239.10
  4. Step 4: Simplify right side
    271,208.61x = 45,243,000,449.55
  5. Step 5: Solve for x
    x = 45,243,000,449.55/271,208.61
  6. Step 6: Final answer
    x = 166,819.93

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Why These Related Problems?

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