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Finding the Fourth Proportional to 255,624.59, 352,745.87 and 140,896.92

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Solution

The fourth proportional to 255,624.59, 352,745.87 and 140,896.92 is: 194,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,624.59 : 352,745.87 = 140,896.92 : x
  2. Step 2: Convert to fraction form
    255,624.59/352,745.87 = 140,896.92/x
  3. Step 3: Cross multiply
    255,624.59x = 352,745.87 × 140,896.92
  4. Step 4: Simplify right side
    255,624.59x = 49,700,806,052.38
  5. Step 5: Solve for x
    x = 49,700,806,052.38/255,624.59
  6. Step 6: Final answer
    x = 194,428.89

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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.