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Finding the Fourth Proportional to 235,251.12, 352,678.30 and 102,031.03

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Solution

The fourth proportional to 235,251.12, 352,678.30 and 102,031.03 is: 152,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,251.12 : 352,678.30 = 102,031.03 : x
  2. Step 2: Convert to fraction form
    235,251.12/352,678.30 = 102,031.03/x
  3. Step 3: Cross multiply
    235,251.12x = 352,678.30 × 102,031.03
  4. Step 4: Simplify right side
    235,251.12x = 35,984,131,959.25
  5. Step 5: Solve for x
    x = 35,984,131,959.25/235,251.12
  6. Step 6: Final answer
    x = 152,960.51

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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.