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Finding the Fourth Proportional to 177,768.30, 245,345.31 and 108,898.86

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Solution

The fourth proportional to 177,768.30, 245,345.31 and 108,898.86 is: 150,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,768.30 : 245,345.31 = 108,898.86 : x
  2. Step 2: Convert to fraction form
    177,768.30/245,345.31 = 108,898.86/x
  3. Step 3: Cross multiply
    177,768.30x = 245,345.31 × 108,898.86
  4. Step 4: Simplify right side
    177,768.30x = 26,717,824,565.35
  5. Step 5: Solve for x
    x = 26,717,824,565.35/177,768.30
  6. Step 6: Final answer
    x = 150,295.78

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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.