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Finding the Fourth Proportional to 133,916.76, 200,687.36 and 96,299.84

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Solution

The fourth proportional to 133,916.76, 200,687.36 and 96,299.84 is: 144,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,916.76 : 200,687.36 = 96,299.84 : x
  2. Step 2: Convert to fraction form
    133,916.76/200,687.36 = 96,299.84/x
  3. Step 3: Cross multiply
    133,916.76x = 200,687.36 × 96,299.84
  4. Step 4: Simplify right side
    133,916.76x = 19,326,160,658.02
  5. Step 5: Solve for x
    x = 19,326,160,658.02/133,916.76
  6. Step 6: Final answer
    x = 144,314.73

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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.