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Finding the Fourth Proportional to 148,599.84, 205,064.22 and 82,294.38

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Solution

The fourth proportional to 148,599.84, 205,064.22 and 82,294.38 is: 113,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,599.84 : 205,064.22 = 82,294.38 : x
  2. Step 2: Convert to fraction form
    148,599.84/205,064.22 = 82,294.38/x
  3. Step 3: Cross multiply
    148,599.84x = 205,064.22 × 82,294.38
  4. Step 4: Simplify right side
    148,599.84x = 16,875,632,845.08
  5. Step 5: Solve for x
    x = 16,875,632,845.08/148,599.84
  6. Step 6: Final answer
    x = 113,564.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.