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Finding the Fourth Proportional to 287,092.14, 430,493.40 and 167,187.84

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Solution

The fourth proportional to 287,092.14, 430,493.40 and 167,187.84 is: 250,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,092.14 : 430,493.40 = 167,187.84 : x
  2. Step 2: Convert to fraction form
    287,092.14/430,493.40 = 167,187.84/x
  3. Step 3: Cross multiply
    287,092.14x = 430,493.40 × 167,187.84
  4. Step 4: Simplify right side
    287,092.14x = 71,973,261,680.26
  5. Step 5: Solve for x
    x = 71,973,261,680.26/287,092.14
  6. Step 6: Final answer
    x = 250,697.43

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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.