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Finding the Fourth Proportional to 235,802.80, 353,481.85 and 117,362.17

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Solution

The fourth proportional to 235,802.80, 353,481.85 and 117,362.17 is: 175,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,802.80 : 353,481.85 = 117,362.17 : x
  2. Step 2: Convert to fraction form
    235,802.80/353,481.85 = 117,362.17/x
  3. Step 3: Cross multiply
    235,802.80x = 353,481.85 × 117,362.17
  4. Step 4: Simplify right side
    235,802.80x = 41,485,396,971.61
  5. Step 5: Solve for x
    x = 41,485,396,971.61/235,802.80
  6. Step 6: Final answer
    x = 175,932.59

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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.