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Finding the Fourth Proportional to 255,896.72, 353,023.28 and 148,404.46

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Solution

The fourth proportional to 255,896.72, 353,023.28 and 148,404.46 is: 204,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,896.72 : 353,023.28 = 148,404.46 : x
  2. Step 2: Convert to fraction form
    255,896.72/353,023.28 = 148,404.46/x
  3. Step 3: Cross multiply
    255,896.72x = 353,023.28 × 148,404.46
  4. Step 4: Simplify right side
    255,896.72x = 52,390,229,235.83
  5. Step 5: Solve for x
    x = 52,390,229,235.83/255,896.72
  6. Step 6: Final answer
    x = 204,731.93

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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.