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Finding the Fourth Proportional to 255,863.96, 353,092.61 and 141,140.02

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Solution

The fourth proportional to 255,863.96, 353,092.61 and 141,140.02 is: 194,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,863.96 : 353,092.61 = 141,140.02 : x
  2. Step 2: Convert to fraction form
    255,863.96/353,092.61 = 141,140.02/x
  3. Step 3: Cross multiply
    255,863.96x = 353,092.61 × 141,140.02
  4. Step 4: Simplify right side
    255,863.96x = 49,835,498,037.25
  5. Step 5: Solve for x
    x = 49,835,498,037.25/255,863.96
  6. Step 6: Final answer
    x = 194,773.42

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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.