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Finding the Fourth Proportional to 132,333.89, 198,500.81 and 48,078.34

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Solution

The fourth proportional to 132,333.89, 198,500.81 and 48,078.34 is: 72,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,333.89 : 198,500.81 = 48,078.34 : x
  2. Step 2: Convert to fraction form
    132,333.89/198,500.81 = 48,078.34/x
  3. Step 3: Cross multiply
    132,333.89x = 198,500.81 × 48,078.34
  4. Step 4: Simplify right side
    132,333.89x = 9,543,588,696.81
  5. Step 5: Solve for x
    x = 9,543,588,696.81/132,333.89
  6. Step 6: Final answer
    x = 72,117.50

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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.