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Finding the Fourth Proportional to 258,097.94, 386,996.24 and 100,141.88

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Solution

The fourth proportional to 258,097.94, 386,996.24 and 100,141.88 is: 150,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,097.94 : 386,996.24 = 100,141.88 : x
  2. Step 2: Convert to fraction form
    258,097.94/386,996.24 = 100,141.88/x
  3. Step 3: Cross multiply
    258,097.94x = 386,996.24 × 100,141.88
  4. Step 4: Simplify right side
    258,097.94x = 38,754,531,026.53
  5. Step 5: Solve for x
    x = 38,754,531,026.53/258,097.94
  6. Step 6: Final answer
    x = 150,154.36

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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.