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Finding the Fourth Proportional to 133,084.30, 199,626.45 and 119,962.30

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Solution

The fourth proportional to 133,084.30, 199,626.45 and 119,962.30 is: 179,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.30 : 199,626.45 = 119,962.30 : x
  2. Step 2: Convert to fraction form
    133,084.30/199,626.45 = 119,962.30/x
  3. Step 3: Cross multiply
    133,084.30x = 199,626.45 × 119,962.30
  4. Step 4: Simplify right side
    133,084.30x = 23,947,648,082.84
  5. Step 5: Solve for x
    x = 23,947,648,082.84/133,084.30
  6. Step 6: Final answer
    x = 179,943.45

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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.