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Finding the Fourth Proportional to 133,697.71, 200,411.60 and 83,812.85

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Solution

The fourth proportional to 133,697.71, 200,411.60 and 83,812.85 is: 125,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,697.71 : 200,411.60 = 83,812.85 : x
  2. Step 2: Convert to fraction form
    133,697.71/200,411.60 = 83,812.85/x
  3. Step 3: Cross multiply
    133,697.71x = 200,411.60 × 83,812.85
  4. Step 4: Simplify right side
    133,697.71x = 16,797,067,369.06
  5. Step 5: Solve for x
    x = 16,797,067,369.06/133,697.71
  6. Step 6: Final answer
    x = 125,634.67

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1.5x scale

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.