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Finding the Fourth Proportional to 120,692.80, 180,823.20 and 58,225.60

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Solution

The fourth proportional to 120,692.80, 180,823.20 and 58,225.60 is: 87,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,692.80 : 180,823.20 = 58,225.60 : x
  2. Step 2: Convert to fraction form
    120,692.80/180,823.20 = 58,225.60/x
  3. Step 3: Cross multiply
    120,692.80x = 180,823.20 × 58,225.60
  4. Step 4: Simplify right side
    120,692.80x = 10,528,539,313.92
  5. Step 5: Solve for x
    x = 10,528,539,313.92/120,692.80
  6. Step 6: Final answer
    x = 87,234.20

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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.