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Finding the Fourth Proportional to 133,838.05, 200,770.91 and 45,098.47

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Solution

The fourth proportional to 133,838.05, 200,770.91 and 45,098.47 is: 67,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,838.05 : 200,770.91 = 45,098.47 : x
  2. Step 2: Convert to fraction form
    133,838.05/200,770.91 = 45,098.47/x
  3. Step 3: Cross multiply
    133,838.05x = 200,770.91 × 45,098.47
  4. Step 4: Simplify right side
    133,838.05x = 9,054,461,601.66
  5. Step 5: Solve for x
    x = 9,054,461,601.66/133,838.05
  6. Step 6: Final answer
    x = 67,652.37

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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.