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Finding the Fourth Proportional to 178,924.50, 246,889.13 and 102,431.52

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Solution

The fourth proportional to 178,924.50, 246,889.13 and 102,431.52 is: 141,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,924.50 : 246,889.13 = 102,431.52 : x
  2. Step 2: Convert to fraction form
    178,924.50/246,889.13 = 102,431.52/x
  3. Step 3: Cross multiply
    178,924.50x = 246,889.13 × 102,431.52
  4. Step 4: Simplify right side
    178,924.50x = 25,289,228,345.22
  5. Step 5: Solve for x
    x = 25,289,228,345.22/178,924.50
  6. Step 6: Final answer
    x = 141,340.22

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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.