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Finding the Fourth Proportional to 167,740, 231,483.36 and 92,286.88

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Solution

The fourth proportional to 167,740, 231,483.36 and 92,286.88 is: 127,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,740 : 231,483.36 = 92,286.88 : x
  2. Step 2: Convert to fraction form
    167,740/231,483.36 = 92,286.88/x
  3. Step 3: Cross multiply
    167,740x = 231,483.36 × 92,286.88
  4. Step 4: Simplify right side
    167,740x = 21,362,877,066.32
  5. Step 5: Solve for x
    x = 21,362,877,066.32/167,740
  6. Step 6: Final answer
    x = 127,357.08

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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.