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Finding the Fourth Proportional to 137,984.52, 206,803.63 and 59,005.87

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Solution

The fourth proportional to 137,984.52, 206,803.63 and 59,005.87 is: 88,434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,984.52 : 206,803.63 = 59,005.87 : x
  2. Step 2: Convert to fraction form
    137,984.52/206,803.63 = 59,005.87/x
  3. Step 3: Cross multiply
    137,984.52x = 206,803.63 × 59,005.87
  4. Step 4: Simplify right side
    137,984.52x = 12,202,628,107.31
  5. Step 5: Solve for x
    x = 12,202,628,107.31/137,984.52
  6. Step 6: Final answer
    x = 88,434.76

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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.