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Finding the Fourth Proportional to 166,285, 229,478.34 and 90,838.36

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Solution

The fourth proportional to 166,285, 229,478.34 and 90,838.36 is: 125,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,285 : 229,478.34 = 90,838.36 : x
  2. Step 2: Convert to fraction form
    166,285/229,478.34 = 90,838.36/x
  3. Step 3: Cross multiply
    166,285x = 229,478.34 × 90,838.36
  4. Step 4: Simplify right side
    166,285x = 20,845,436,061.12
  5. Step 5: Solve for x
    x = 20,845,436,061.12/166,285
  6. Step 6: Final answer
    x = 125,359.69

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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.