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Finding the Fourth Proportional to 198,854.33, 298,236.74 and 56,696.76

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Solution

The fourth proportional to 198,854.33, 298,236.74 and 56,696.76 is: 85,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854.33 : 298,236.74 = 56,696.76 : x
  2. Step 2: Convert to fraction form
    198,854.33/298,236.74 = 56,696.76/x
  3. Step 3: Cross multiply
    198,854.33x = 298,236.74 × 56,696.76
  4. Step 4: Simplify right side
    198,854.33x = 16,909,056,587.48
  5. Step 5: Solve for x
    x = 16,909,056,587.48/198,854.33
  6. Step 6: Final answer
    x = 85,032.38

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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.