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Finding the Fourth Proportional to 197,885.84, 296,755.25 and 85,582.17

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Solution

The fourth proportional to 197,885.84, 296,755.25 and 85,582.17 is: 128,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,885.84 : 296,755.25 = 85,582.17 : x
  2. Step 2: Convert to fraction form
    197,885.84/296,755.25 = 85,582.17/x
  3. Step 3: Cross multiply
    197,885.84x = 296,755.25 × 85,582.17
  4. Step 4: Simplify right side
    197,885.84x = 25,396,957,825.98
  5. Step 5: Solve for x
    x = 25,396,957,825.98/197,885.84
  6. Step 6: Final answer
    x = 128,341.46

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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.