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Finding the Fourth Proportional to 271,001.52, 406,498.59 and 84,013.02

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Solution

The fourth proportional to 271,001.52, 406,498.59 and 84,013.02 is: 126,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,001.52 : 406,498.59 = 84,013.02 : x
  2. Step 2: Convert to fraction form
    271,001.52/406,498.59 = 84,013.02/x
  3. Step 3: Cross multiply
    271,001.52x = 406,498.59 × 84,013.02
  4. Step 4: Simplify right side
    271,001.52x = 34,151,174,171.64
  5. Step 5: Solve for x
    x = 34,151,174,171.64/271,001.52
  6. Step 6: Final answer
    x = 126,018.39

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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.