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Finding the Fourth Proportional to 287,487.56, 431,296.92 and 87,836.30

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Solution

The fourth proportional to 287,487.56, 431,296.92 and 87,836.30 is: 131,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,487.56 : 431,296.92 = 87,836.30 : x
  2. Step 2: Convert to fraction form
    287,487.56/431,296.92 = 87,836.30/x
  3. Step 3: Cross multiply
    287,487.56x = 431,296.92 × 87,836.30
  4. Step 4: Simplify right side
    287,487.56x = 37,883,525,654.20
  5. Step 5: Solve for x
    x = 37,883,525,654.20/287,487.56
  6. Step 6: Final answer
    x = 131,774.49

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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.