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Finding the Fourth Proportional to 133,422.74, 200,121.71 and 37,368.64

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Solution

The fourth proportional to 133,422.74, 200,121.71 and 37,368.64 is: 56,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,422.74 : 200,121.71 = 37,368.64 : x
  2. Step 2: Convert to fraction form
    133,422.74/200,121.71 = 37,368.64/x
  3. Step 3: Cross multiply
    133,422.74x = 200,121.71 × 37,368.64
  4. Step 4: Simplify right side
    133,422.74x = 7,478,276,515.78
  5. Step 5: Solve for x
    x = 7,478,276,515.78/133,422.74
  6. Step 6: Final answer
    x = 56,049.49

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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.