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Finding the Fourth Proportional to 237,788.01, 327,860.51 and 205,464.21

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Solution

The fourth proportional to 237,788.01, 327,860.51 and 205,464.21 is: 283,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,788.01 : 327,860.51 = 205,464.21 : x
  2. Step 2: Convert to fraction form
    237,788.01/327,860.51 = 205,464.21/x
  3. Step 3: Cross multiply
    237,788.01x = 327,860.51 × 205,464.21
  4. Step 4: Simplify right side
    237,788.01x = 67,363,599,600.87
  5. Step 5: Solve for x
    x = 67,363,599,600.87/237,788.01
  6. Step 6: Final answer
    x = 283,292.67

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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.