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Finding the Fourth Proportional to 224,024.80, 336,037.20 and 209,153.20

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Solution

The fourth proportional to 224,024.80, 336,037.20 and 209,153.20 is: 313,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,024.80 : 336,037.20 = 209,153.20 : x
  2. Step 2: Convert to fraction form
    224,024.80/336,037.20 = 209,153.20/x
  3. Step 3: Cross multiply
    224,024.80x = 336,037.20 × 209,153.20
  4. Step 4: Simplify right side
    224,024.80x = 70,283,255,699.04
  5. Step 5: Solve for x
    x = 70,283,255,699.04/224,024.80
  6. Step 6: Final answer
    x = 313,729.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.