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Finding the Fourth Proportional to 133,962, 200,882.79 and 96,364.50

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Solution

The fourth proportional to 133,962, 200,882.79 and 96,364.50 is: 144,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,962 : 200,882.79 = 96,364.50 : x
  2. Step 2: Convert to fraction form
    133,962/200,882.79 = 96,364.50/x
  3. Step 3: Cross multiply
    133,962x = 200,882.79 × 96,364.50
  4. Step 4: Simplify right side
    133,962x = 19,357,969,616.96
  5. Step 5: Solve for x
    x = 19,357,969,616.96/133,962
  6. Step 6: Final answer
    x = 144,503.44

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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.