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Finding the Fourth Proportional to 183,821.84, 275,689.56 and 117,164.24

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Solution

The fourth proportional to 183,821.84, 275,689.56 and 117,164.24 is: 175,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,821.84 : 275,689.56 = 117,164.24 : x
  2. Step 2: Convert to fraction form
    183,821.84/275,689.56 = 117,164.24/x
  3. Step 3: Cross multiply
    183,821.84x = 275,689.56 × 117,164.24
  4. Step 4: Simplify right side
    183,821.84x = 32,300,957,773.33
  5. Step 5: Solve for x
    x = 32,300,957,773.33/183,821.84
  6. Step 6: Final answer
    x = 175,718.83

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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.