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Finding the Fourth Proportional to 183,733.10, 275,599.65 and 65,537.90

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Solution

The fourth proportional to 183,733.10, 275,599.65 and 65,537.90 is: 98,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,733.10 : 275,599.65 = 65,537.90 : x
  2. Step 2: Convert to fraction form
    183,733.10/275,599.65 = 65,537.90/x
  3. Step 3: Cross multiply
    183,733.10x = 275,599.65 × 65,537.90
  4. Step 4: Simplify right side
    183,733.10x = 18,062,222,301.74
  5. Step 5: Solve for x
    x = 18,062,222,301.74/183,733.10
  6. Step 6: Final answer
    x = 98,306.85

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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.