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Finding the Fourth Proportional to 235,998.32, 353,866.25 and 78,140.66

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Solution

The fourth proportional to 235,998.32, 353,866.25 and 78,140.66 is: 117,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,998.32 : 353,866.25 = 78,140.66 : x
  2. Step 2: Convert to fraction form
    235,998.32/353,866.25 = 78,140.66/x
  3. Step 3: Cross multiply
    235,998.32x = 353,866.25 × 78,140.66
  4. Step 4: Simplify right side
    235,998.32x = 27,651,340,166.69
  5. Step 5: Solve for x
    x = 27,651,340,166.69/235,998.32
  6. Step 6: Final answer
    x = 117,167.53

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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.