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Finding the Fourth Proportional to 255,729.91, 352,926.48 and 148,299.01

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Solution

The fourth proportional to 255,729.91, 352,926.48 and 148,299.01 is: 204,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,729.91 : 352,926.48 = 148,299.01 : x
  2. Step 2: Convert to fraction form
    255,729.91/352,926.48 = 148,299.01/x
  3. Step 3: Cross multiply
    255,729.91x = 352,926.48 × 148,299.01
  4. Step 4: Simplify right side
    255,729.91x = 52,338,647,586.78
  5. Step 5: Solve for x
    x = 52,338,647,586.78/255,729.91
  6. Step 6: Final answer
    x = 204,663.77

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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.