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Finding the Fourth Proportional to 183,786.78, 275,718.44 and 57,421.92

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Solution

The fourth proportional to 183,786.78, 275,718.44 and 57,421.92 is: 86,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,786.78 : 275,718.44 = 57,421.92 : x
  2. Step 2: Convert to fraction form
    183,786.78/275,718.44 = 57,421.92/x
  3. Step 3: Cross multiply
    183,786.78x = 275,718.44 × 57,421.92
  4. Step 4: Simplify right side
    183,786.78x = 15,832,282,204.20
  5. Step 5: Solve for x
    x = 15,832,282,204.20/183,786.78
  6. Step 6: Final answer
    x = 86,144.84

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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.