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Finding the Fourth Proportional to 137,588.00, 206,368.17 and 37,758.24

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Solution

The fourth proportional to 137,588.00, 206,368.17 and 37,758.24 is: 56,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,588.00 : 206,368.17 = 37,758.24 : x
  2. Step 2: Convert to fraction form
    137,588.00/206,368.17 = 37,758.24/x
  3. Step 3: Cross multiply
    137,588.00x = 206,368.17 × 37,758.24
  4. Step 4: Simplify right side
    137,588.00x = 7,792,098,891.22
  5. Step 5: Solve for x
    x = 7,792,098,891.22/137,588.00
  6. Step 6: Final answer
    x = 56,633.57

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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.