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Finding the Fourth Proportional to 302,461.26, 453,691.89 and 112,936.40

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Solution

The fourth proportional to 302,461.26, 453,691.89 and 112,936.40 is: 169,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,461.26 : 453,691.89 = 112,936.40 : x
  2. Step 2: Convert to fraction form
    302,461.26/453,691.89 = 112,936.40/x
  3. Step 3: Cross multiply
    302,461.26x = 453,691.89 × 112,936.40
  4. Step 4: Simplify right side
    302,461.26x = 51,238,326,497.34
  5. Step 5: Solve for x
    x = 51,238,326,497.34/302,461.26
  6. Step 6: Final answer
    x = 169,404.59

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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.