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Finding the Fourth Proportional to 227,692.92, 341,544.85 and 77,932.22

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Solution

The fourth proportional to 227,692.92, 341,544.85 and 77,932.22 is: 116,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,692.92 : 341,544.85 = 77,932.22 : x
  2. Step 2: Convert to fraction form
    227,692.92/341,544.85 = 77,932.22/x
  3. Step 3: Cross multiply
    227,692.92x = 341,544.85 × 77,932.22
  4. Step 4: Simplify right side
    227,692.92x = 26,617,348,000.41
  5. Step 5: Solve for x
    x = 26,617,348,000.41/227,692.92
  6. Step 6: Final answer
    x = 116,900.20

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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.