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Finding the Fourth Proportional to 78,113.13, 117,189.67 and 22,709.13

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Solution

The fourth proportional to 78,113.13, 117,189.67 and 22,709.13 is: 34,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,113.13 : 117,189.67 = 22,709.13 : x
  2. Step 2: Convert to fraction form
    78,113.13/117,189.67 = 22,709.13/x
  3. Step 3: Cross multiply
    78,113.13x = 117,189.67 × 22,709.13
  4. Step 4: Simplify right side
    78,113.13x = 2,661,275,450.69
  5. Step 5: Solve for x
    x = 2,661,275,450.69/78,113.13
  6. Step 6: Final answer
    x = 34,069.50

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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.