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Finding the Fourth Proportional to 167,810.76, 231,583.12 and 91,334.00

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Solution

The fourth proportional to 167,810.76, 231,583.12 and 91,334.00 is: 126,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,810.76 : 231,583.12 = 91,334.00 : x
  2. Step 2: Convert to fraction form
    167,810.76/231,583.12 = 91,334.00/x
  3. Step 3: Cross multiply
    167,810.76x = 231,583.12 × 91,334.00
  4. Step 4: Simplify right side
    167,810.76x = 21,151,413,032.70
  5. Step 5: Solve for x
    x = 21,151,413,032.70/167,810.76
  6. Step 6: Final answer
    x = 126,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.