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Finding the Fourth Proportional to 132,059.97, 197,971.56 and 47,800.40

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Solution

The fourth proportional to 132,059.97, 197,971.56 and 47,800.40 is: 71,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,059.97 : 197,971.56 = 47,800.40 : x
  2. Step 2: Convert to fraction form
    132,059.97/197,971.56 = 47,800.40/x
  3. Step 3: Cross multiply
    132,059.97x = 197,971.56 × 47,800.40
  4. Step 4: Simplify right side
    132,059.97x = 9,463,118,766.77
  5. Step 5: Solve for x
    x = 9,463,118,766.77/132,059.97
  6. Step 6: Final answer
    x = 71,657.74

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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.