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Finding the Fourth Proportional to 307,226, 461,020.44 and 129,721.52

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Solution

The fourth proportional to 307,226, 461,020.44 and 129,721.52 is: 194,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,226 : 461,020.44 = 129,721.52 : x
  2. Step 2: Convert to fraction form
    307,226/461,020.44 = 129,721.52/x
  3. Step 3: Cross multiply
    307,226x = 461,020.44 × 129,721.52
  4. Step 4: Simplify right side
    307,226x = 59,804,272,227.87
  5. Step 5: Solve for x
    x = 59,804,272,227.87/307,226
  6. Step 6: Final answer
    x = 194,658.89

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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.