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Finding the Fourth Proportional to 167,838.42, 231,623.13 and 91,353.81

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Solution

The fourth proportional to 167,838.42, 231,623.13 and 91,353.81 is: 126,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,838.42 : 231,623.13 = 91,353.81 : x
  2. Step 2: Convert to fraction form
    167,838.42/231,623.13 = 91,353.81/x
  3. Step 3: Cross multiply
    167,838.42x = 231,623.13 × 91,353.81
  4. Step 4: Simplify right side
    167,838.42x = 21,159,655,409.63
  5. Step 5: Solve for x
    x = 21,159,655,409.63/167,838.42
  6. Step 6: Final answer
    x = 126,071.58

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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.