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Finding the Fourth Proportional to 238,998.52, 358,719.32 and 120,752.97

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Solution

The fourth proportional to 238,998.52, 358,719.32 and 120,752.97 is: 181,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,998.52 : 358,719.32 = 120,752.97 : x
  2. Step 2: Convert to fraction form
    238,998.52/358,719.32 = 120,752.97/x
  3. Step 3: Cross multiply
    238,998.52x = 358,719.32 × 120,752.97
  4. Step 4: Simplify right side
    238,998.52x = 43,316,423,286.38
  5. Step 5: Solve for x
    x = 43,316,423,286.38/238,998.52
  6. Step 6: Final answer
    x = 181,241.39

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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.