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Finding the Fourth Proportional to 255,896.44, 353,022.98 and 148,404.17

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Solution

The fourth proportional to 255,896.44, 353,022.98 and 148,404.17 is: 204,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,896.44 : 353,022.98 = 148,404.17 : x
  2. Step 2: Convert to fraction form
    255,896.44/353,022.98 = 148,404.17/x
  3. Step 3: Cross multiply
    255,896.44x = 353,022.98 × 148,404.17
  4. Step 4: Simplify right side
    255,896.44x = 52,390,082,478.36
  5. Step 5: Solve for x
    x = 52,390,082,478.36/255,896.44
  6. Step 6: Final answer
    x = 204,731.58

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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.