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Finding the Fourth Proportional to 198,658.16, 298,023.89 and 65,547.62

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Solution

The fourth proportional to 198,658.16, 298,023.89 and 65,547.62 is: 98,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,658.16 : 298,023.89 = 65,547.62 : x
  2. Step 2: Convert to fraction form
    198,658.16/298,023.89 = 65,547.62/x
  3. Step 3: Cross multiply
    198,658.16x = 298,023.89 × 65,547.62
  4. Step 4: Simplify right side
    198,658.16x = 19,534,755,617.93
  5. Step 5: Solve for x
    x = 19,534,755,617.93/198,658.16
  6. Step 6: Final answer
    x = 98,333.52

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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.