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Finding the Fourth Proportional to 255,608.87, 352,741.64 and 148,242.56

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Solution

The fourth proportional to 255,608.87, 352,741.64 and 148,242.56 is: 204,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,608.87 : 352,741.64 = 148,242.56 : x
  2. Step 2: Convert to fraction form
    255,608.87/352,741.64 = 148,242.56/x
  3. Step 3: Cross multiply
    255,608.87x = 352,741.64 × 148,242.56
  4. Step 4: Simplify right side
    255,608.87x = 52,291,321,227.28
  5. Step 5: Solve for x
    x = 52,291,321,227.28/255,608.87
  6. Step 6: Final answer
    x = 204,575.54

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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.