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Finding the Fourth Proportional to 257,691.82, 386,574.16 and 99,936.22

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Solution

The fourth proportional to 257,691.82, 386,574.16 and 99,936.22 is: 149,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,691.82 : 386,574.16 = 99,936.22 : x
  2. Step 2: Convert to fraction form
    257,691.82/386,574.16 = 99,936.22/x
  3. Step 3: Cross multiply
    257,691.82x = 386,574.16 × 99,936.22
  4. Step 4: Simplify right side
    257,691.82x = 38,632,760,300.08
  5. Step 5: Solve for x
    x = 38,632,760,300.08/257,691.82
  6. Step 6: Final answer
    x = 149,918.46

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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.