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Finding the Fourth Proportional to 136,347.84, 204,532.70 and 47,599.38

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Solution

The fourth proportional to 136,347.84, 204,532.70 and 47,599.38 is: 71,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,347.84 : 204,532.70 = 47,599.38 : x
  2. Step 2: Convert to fraction form
    136,347.84/204,532.70 = 47,599.38/x
  3. Step 3: Cross multiply
    136,347.84x = 204,532.70 × 47,599.38
  4. Step 4: Simplify right side
    136,347.84x = 9,735,629,471.73
  5. Step 5: Solve for x
    x = 9,735,629,471.73/136,347.84
  6. Step 6: Final answer
    x = 71,402.89

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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.