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Finding the Fourth Proportional to 132,062.97, 197,976.06 and 47,803.40

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Solution

The fourth proportional to 132,062.97, 197,976.06 and 47,803.40 is: 71,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,062.97 : 197,976.06 = 47,803.40 : x
  2. Step 2: Convert to fraction form
    132,062.97/197,976.06 = 47,803.40/x
  3. Step 3: Cross multiply
    132,062.97x = 197,976.06 × 47,803.40
  4. Step 4: Simplify right side
    132,062.97x = 9,463,927,796.72
  5. Step 5: Solve for x
    x = 9,463,927,796.72/132,062.97
  6. Step 6: Final answer
    x = 71,662.24

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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.