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Finding the Fourth Proportional to 287,584.60, 431,052.90 and 137,896.60

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Solution

The fourth proportional to 287,584.60, 431,052.90 and 137,896.60 is: 206,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.60 : 431,052.90 = 137,896.60 : x
  2. Step 2: Convert to fraction form
    287,584.60/431,052.90 = 137,896.60/x
  3. Step 3: Cross multiply
    287,584.60x = 431,052.90 × 137,896.60
  4. Step 4: Simplify right side
    287,584.60x = 59,440,729,330.14
  5. Step 5: Solve for x
    x = 59,440,729,330.14/287,584.60
  6. Step 6: Final answer
    x = 206,689.54

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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.