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Finding the Fourth Proportional to 356,533.54, 534,789.33 and 146,012.92

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Solution

The fourth proportional to 356,533.54, 534,789.33 and 146,012.92 is: 219,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,533.54 : 534,789.33 = 146,012.92 : x
  2. Step 2: Convert to fraction form
    356,533.54/534,789.33 = 146,012.92/x
  3. Step 3: Cross multiply
    356,533.54x = 534,789.33 × 146,012.92
  4. Step 4: Simplify right side
    356,533.54x = 78,086,151,658.14
  5. Step 5: Solve for x
    x = 78,086,151,658.14/356,533.54
  6. Step 6: Final answer
    x = 219,014.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.