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Finding the Fourth Proportional to 287,401.64, 431,102.37 and 87,723.02

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Solution

The fourth proportional to 287,401.64, 431,102.37 and 87,723.02 is: 131,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,401.64 : 431,102.37 = 87,723.02 : x
  2. Step 2: Convert to fraction form
    287,401.64/431,102.37 = 87,723.02/x
  3. Step 3: Cross multiply
    287,401.64x = 431,102.37 × 87,723.02
  4. Step 4: Simplify right side
    287,401.64x = 37,817,601,825.56
  5. Step 5: Solve for x
    x = 37,817,601,825.56/287,401.64
  6. Step 6: Final answer
    x = 131,584.50

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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.