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Finding the Fourth Proportional to 133,094.70, 199,670.74 and 38,324.23

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Solution

The fourth proportional to 133,094.70, 199,670.74 and 38,324.23 is: 57,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,094.70 : 199,670.74 = 38,324.23 : x
  2. Step 2: Convert to fraction form
    133,094.70/199,670.74 = 38,324.23/x
  3. Step 3: Cross multiply
    133,094.70x = 199,670.74 × 38,324.23
  4. Step 4: Simplify right side
    133,094.70x = 7,652,226,769.04
  5. Step 5: Solve for x
    x = 7,652,226,769.04/133,094.70
  6. Step 6: Final answer
    x = 57,494.60

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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.