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Finding the Fourth Proportional to 131,692.60, 197,312.10 and 61,427.80

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Solution

The fourth proportional to 131,692.60, 197,312.10 and 61,427.80 is: 92,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692.60 : 197,312.10 = 61,427.80 : x
  2. Step 2: Convert to fraction form
    131,692.60/197,312.10 = 61,427.80/x
  3. Step 3: Cross multiply
    131,692.60x = 197,312.10 × 61,427.80
  4. Step 4: Simplify right side
    131,692.60x = 12,120,448,216.38
  5. Step 5: Solve for x
    x = 12,120,448,216.38/131,692.60
  6. Step 6: Final answer
    x = 92,035.91

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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.