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Finding the Fourth Proportional to 198,969.16, 298,486.16 and 58,741.96

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Solution

The fourth proportional to 198,969.16, 298,486.16 and 58,741.96 is: 88,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,969.16 : 298,486.16 = 58,741.96 : x
  2. Step 2: Convert to fraction form
    198,969.16/298,486.16 = 58,741.96/x
  3. Step 3: Cross multiply
    198,969.16x = 298,486.16 × 58,741.96
  4. Step 4: Simplify right side
    198,969.16x = 17,533,662,071.27
  5. Step 5: Solve for x
    x = 17,533,662,071.27/198,969.16
  6. Step 6: Final answer
    x = 88,122.51

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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.