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Finding the Fourth Proportional to 119,930.50, 165,518.67 and 69,629.50

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Solution

The fourth proportional to 119,930.50, 165,518.67 and 69,629.50 is: 96,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,930.50 : 165,518.67 = 69,629.50 : x
  2. Step 2: Convert to fraction form
    119,930.50/165,518.67 = 69,629.50/x
  3. Step 3: Cross multiply
    119,930.50x = 165,518.67 × 69,629.50
  4. Step 4: Simplify right side
    119,930.50x = 11,524,982,232.77
  5. Step 5: Solve for x
    x = 11,524,982,232.77/119,930.50
  6. Step 6: Final answer
    x = 96,097.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.