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Finding the Fourth Proportional to 133,838.25, 200,785.05 and 45,098.67

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Solution

The fourth proportional to 133,838.25, 200,785.05 and 45,098.67 is: 67,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,838.25 : 200,785.05 = 45,098.67 : x
  2. Step 2: Convert to fraction form
    133,838.25/200,785.05 = 45,098.67/x
  3. Step 3: Cross multiply
    133,838.25x = 200,785.05 × 45,098.67
  4. Step 4: Simplify right side
    133,838.25x = 9,055,139,590.67
  5. Step 5: Solve for x
    x = 9,055,139,590.67/133,838.25
  6. Step 6: Final answer
    x = 67,657.34

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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.