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Finding the Fourth Proportional to 137,692.34, 206,498.79 and 37,855.79

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Solution

The fourth proportional to 137,692.34, 206,498.79 and 37,855.79 is: 56,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,692.34 : 206,498.79 = 37,855.79 : x
  2. Step 2: Convert to fraction form
    137,692.34/206,498.79 = 37,855.79/x
  3. Step 3: Cross multiply
    137,692.34x = 206,498.79 × 37,855.79
  4. Step 4: Simplify right side
    137,692.34x = 7,817,174,829.49
  5. Step 5: Solve for x
    x = 7,817,174,829.49/137,692.34
  6. Step 6: Final answer
    x = 56,772.76

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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.