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Finding the Fourth Proportional to 491,058, 736,584.90 and 136,071

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Solution

The fourth proportional to 491,058, 736,584.90 and 136,071 is: 204,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,058 : 736,584.90 = 136,071 : x
  2. Step 2: Convert to fraction form
    491,058/736,584.90 = 136,071/x
  3. Step 3: Cross multiply
    491,058x = 736,584.90 × 136,071
  4. Step 4: Simplify right side
    491,058x = 100,227,843,927.90
  5. Step 5: Solve for x
    x = 100,227,843,927.90/491,058
  6. Step 6: Final answer
    x = 204,105.92

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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.