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Finding the Fourth Proportional to 146,906.47, 202,731.02 and 79,838.47

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Solution

The fourth proportional to 146,906.47, 202,731.02 and 79,838.47 is: 110,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,906.47 : 202,731.02 = 79,838.47 : x
  2. Step 2: Convert to fraction form
    146,906.47/202,731.02 = 79,838.47/x
  3. Step 3: Cross multiply
    146,906.47x = 202,731.02 × 79,838.47
  4. Step 4: Simplify right side
    146,906.47x = 16,185,734,059.15
  5. Step 5: Solve for x
    x = 16,185,734,059.15/146,906.47
  6. Step 6: Final answer
    x = 110,177.14

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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.