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Finding the Fourth Proportional to 231,719.82, 347,595.52 and 73,960.16

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Solution

The fourth proportional to 231,719.82, 347,595.52 and 73,960.16 is: 110,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,719.82 : 347,595.52 = 73,960.16 : x
  2. Step 2: Convert to fraction form
    231,719.82/347,595.52 = 73,960.16/x
  3. Step 3: Cross multiply
    231,719.82x = 347,595.52 × 73,960.16
  4. Step 4: Simplify right side
    231,719.82x = 25,708,220,274.48
  5. Step 5: Solve for x
    x = 25,708,220,274.48/231,719.82
  6. Step 6: Final answer
    x = 110,945.28

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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.