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Finding the Fourth Proportional to 177,289.56, 265,934.34 and 107,020.44

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Solution

The fourth proportional to 177,289.56, 265,934.34 and 107,020.44 is: 160,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,289.56 : 265,934.34 = 107,020.44 : x
  2. Step 2: Convert to fraction form
    177,289.56/265,934.34 = 107,020.44/x
  3. Step 3: Cross multiply
    177,289.56x = 265,934.34 × 107,020.44
  4. Step 4: Simplify right side
    177,289.56x = 28,460,410,077.91
  5. Step 5: Solve for x
    x = 28,460,410,077.91/177,289.56
  6. Step 6: Final answer
    x = 160,530.66

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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.