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Finding the Fourth Proportional to 180,123.87, 270,191.27 and 61,793.50

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Solution

The fourth proportional to 180,123.87, 270,191.27 and 61,793.50 is: 92,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.87 : 270,191.27 = 61,793.50 : x
  2. Step 2: Convert to fraction form
    180,123.87/270,191.27 = 61,793.50/x
  3. Step 3: Cross multiply
    180,123.87x = 270,191.27 × 61,793.50
  4. Step 4: Simplify right side
    180,123.87x = 16,696,064,242.75
  5. Step 5: Solve for x
    x = 16,696,064,242.75/180,123.87
  6. Step 6: Final answer
    x = 92,692.12

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1.5x scale

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.