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Finding the Fourth Proportional to 198,710.73, 298,066.17 and 48,953.93

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Solution

The fourth proportional to 198,710.73, 298,066.17 and 48,953.93 is: 73,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,710.73 : 298,066.17 = 48,953.93 : x
  2. Step 2: Convert to fraction form
    198,710.73/298,066.17 = 48,953.93/x
  3. Step 3: Cross multiply
    198,710.73x = 298,066.17 × 48,953.93
  4. Step 4: Simplify right side
    198,710.73x = 14,591,510,048.97
  5. Step 5: Solve for x
    x = 14,591,510,048.97/198,710.73
  6. Step 6: Final answer
    x = 73,430.91

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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.