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Finding the Fourth Proportional to 231,655.97, 347,708.65 and 111,797.28

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Solution

The fourth proportional to 231,655.97, 347,708.65 and 111,797.28 is: 167,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,655.97 : 347,708.65 = 111,797.28 : x
  2. Step 2: Convert to fraction form
    231,655.97/347,708.65 = 111,797.28/x
  3. Step 3: Cross multiply
    231,655.97x = 347,708.65 × 111,797.28
  4. Step 4: Simplify right side
    231,655.97x = 38,872,881,302.47
  5. Step 5: Solve for x
    x = 38,872,881,302.47/231,655.97
  6. Step 6: Final answer
    x = 167,804.36

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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.