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Finding the Fourth Proportional to 224,491.44, 309,805.43 and 127,692.80

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Solution

The fourth proportional to 224,491.44, 309,805.43 and 127,692.80 is: 176,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,491.44 : 309,805.43 = 127,692.80 : x
  2. Step 2: Convert to fraction form
    224,491.44/309,805.43 = 127,692.80/x
  3. Step 3: Cross multiply
    224,491.44x = 309,805.43 × 127,692.80
  4. Step 4: Simplify right side
    224,491.44x = 39,559,920,624.41
  5. Step 5: Solve for x
    x = 39,559,920,624.41/224,491.44
  6. Step 6: Final answer
    x = 176,220.17

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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.