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Finding the Fourth Proportional to 191,140.52, 263,782.92 and 106,259

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Solution

The fourth proportional to 191,140.52, 263,782.92 and 106,259 is: 146,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,140.52 : 263,782.92 = 106,259 : x
  2. Step 2: Convert to fraction form
    191,140.52/263,782.92 = 106,259/x
  3. Step 3: Cross multiply
    191,140.52x = 263,782.92 × 106,259
  4. Step 4: Simplify right side
    191,140.52x = 28,029,309,296.28
  5. Step 5: Solve for x
    x = 28,029,309,296.28/191,140.52
  6. Step 6: Final answer
    x = 146,642.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.