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Finding the Fourth Proportional to 137,692.98, 190,000.89 and 77,251.05

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Solution

The fourth proportional to 137,692.98, 190,000.89 and 77,251.05 is: 106,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,692.98 : 190,000.89 = 77,251.05 : x
  2. Step 2: Convert to fraction form
    137,692.98/190,000.89 = 77,251.05/x
  3. Step 3: Cross multiply
    137,692.98x = 190,000.89 × 77,251.05
  4. Step 4: Simplify right side
    137,692.98x = 14,677,768,253.43
  5. Step 5: Solve for x
    x = 14,677,768,253.43/137,692.98
  6. Step 6: Final answer
    x = 106,597.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.