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Finding the Fourth Proportional to 183,820.80, 275,733.12 and 78,574.08

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Solution

The fourth proportional to 183,820.80, 275,733.12 and 78,574.08 is: 117,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,820.80 : 275,733.12 = 78,574.08 : x
  2. Step 2: Convert to fraction form
    183,820.80/275,733.12 = 78,574.08/x
  3. Step 3: Cross multiply
    183,820.80x = 275,733.12 × 78,574.08
  4. Step 4: Simplify right side
    183,820.80x = 21,665,476,229.53
  5. Step 5: Solve for x
    x = 21,665,476,229.53/183,820.80
  6. Step 6: Final answer
    x = 117,861.94

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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.