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Finding the Fourth Proportional to 235,251.09, 352,678.26 and 102,031

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Solution

The fourth proportional to 235,251.09, 352,678.26 and 102,031 is: 152,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,251.09 : 352,678.26 = 102,031 : x
  2. Step 2: Convert to fraction form
    235,251.09/352,678.26 = 102,031/x
  3. Step 3: Cross multiply
    235,251.09x = 352,678.26 × 102,031
  4. Step 4: Simplify right side
    235,251.09x = 35,984,115,546.06
  5. Step 5: Solve for x
    x = 35,984,115,546.06/235,251.09
  6. Step 6: Final answer
    x = 152,960.46

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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.