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Finding the Fourth Proportional to 255,914.82, 353,048.34 and 148,422.54

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Solution

The fourth proportional to 255,914.82, 353,048.34 and 148,422.54 is: 204,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,914.82 : 353,048.34 = 148,422.54 : x
  2. Step 2: Convert to fraction form
    255,914.82/353,048.34 = 148,422.54/x
  3. Step 3: Cross multiply
    255,914.82x = 353,048.34 × 148,422.54
  4. Step 4: Simplify right side
    255,914.82x = 52,400,331,365.58
  5. Step 5: Solve for x
    x = 52,400,331,365.58/255,914.82
  6. Step 6: Final answer
    x = 204,756.92

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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.