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Finding the Fourth Proportional to 245,206.56, 338,416.32 and 149,692.80

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Solution

The fourth proportional to 245,206.56, 338,416.32 and 149,692.80 is: 206,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,206.56 : 338,416.32 = 149,692.80 : x
  2. Step 2: Convert to fraction form
    245,206.56/338,416.32 = 149,692.80/x
  3. Step 3: Cross multiply
    245,206.56x = 338,416.32 × 149,692.80
  4. Step 4: Simplify right side
    245,206.56x = 50,658,486,506.50
  5. Step 5: Solve for x
    x = 50,658,486,506.50/245,206.56
  6. Step 6: Final answer
    x = 206,595.15

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