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Finding the Fourth Proportional to 271,133.28, 406,300.14 and 151,024.77

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Solution

The fourth proportional to 271,133.28, 406,300.14 and 151,024.77 is: 226,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,133.28 : 406,300.14 = 151,024.77 : x
  2. Step 2: Convert to fraction form
    271,133.28/406,300.14 = 151,024.77/x
  3. Step 3: Cross multiply
    271,133.28x = 406,300.14 × 151,024.77
  4. Step 4: Simplify right side
    271,133.28x = 61,361,385,194.47
  5. Step 5: Solve for x
    x = 61,361,385,194.47/271,133.28
  6. Step 6: Final answer
    x = 226,314.47

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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.