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Finding the Fourth Proportional to 119,933, 165,522.12 and 69,632

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Solution

The fourth proportional to 119,933, 165,522.12 and 69,632 is: 96,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,933 : 165,522.12 = 69,632 : x
  2. Step 2: Convert to fraction form
    119,933/165,522.12 = 69,632/x
  3. Step 3: Cross multiply
    119,933x = 165,522.12 × 69,632
  4. Step 4: Simplify right side
    119,933x = 11,525,636,259.84
  5. Step 5: Solve for x
    x = 11,525,636,259.84/119,933
  6. Step 6: Final answer
    x = 96,100.63

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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.