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Finding the Fourth Proportional to 119,933.50, 165,522.81 and 69,632.50

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Solution

The fourth proportional to 119,933.50, 165,522.81 and 69,632.50 is: 96,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,933.50 : 165,522.81 = 69,632.50 : x
  2. Step 2: Convert to fraction form
    119,933.50/165,522.81 = 69,632.50/x
  3. Step 3: Cross multiply
    119,933.50x = 165,522.81 × 69,632.50
  4. Step 4: Simplify right side
    119,933.50x = 11,525,767,067.33
  5. Step 5: Solve for x
    x = 11,525,767,067.33/119,933.50
  6. Step 6: Final answer
    x = 96,101.32

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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.