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Finding the Fourth Proportional to 231,729.40, 347,600.14 and 73,957.64

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Solution

The fourth proportional to 231,729.40, 347,600.14 and 73,957.64 is: 110,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,729.40 : 347,600.14 = 73,957.64 : x
  2. Step 2: Convert to fraction form
    231,729.40/347,600.14 = 73,957.64/x
  3. Step 3: Cross multiply
    231,729.40x = 347,600.14 × 73,957.64
  4. Step 4: Simplify right side
    231,729.40x = 25,707,686,018.07
  5. Step 5: Solve for x
    x = 25,707,686,018.07/231,729.40
  6. Step 6: Final answer
    x = 110,938.39

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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.