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Finding the Fourth Proportional to 176,159.15, 263,898.61 and 105,138.48

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Solution

The fourth proportional to 176,159.15, 263,898.61 and 105,138.48 is: 157,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,159.15 : 263,898.61 = 105,138.48 : x
  2. Step 2: Convert to fraction form
    176,159.15/263,898.61 = 105,138.48/x
  3. Step 3: Cross multiply
    176,159.15x = 263,898.61 × 105,138.48
  4. Step 4: Simplify right side
    176,159.15x = 27,745,899,456.29
  5. Step 5: Solve for x
    x = 27,745,899,456.29/176,159.15
  6. Step 6: Final answer
    x = 157,504.73

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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.