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Finding the Fourth Proportional to 224,136.70, 336,205.05 and 81,981.70

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Solution

The fourth proportional to 224,136.70, 336,205.05 and 81,981.70 is: 122,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,136.70 : 336,205.05 = 81,981.70 : x
  2. Step 2: Convert to fraction form
    224,136.70/336,205.05 = 81,981.70/x
  3. Step 3: Cross multiply
    224,136.70x = 336,205.05 × 81,981.70
  4. Step 4: Simplify right side
    224,136.70x = 27,562,661,547.59
  5. Step 5: Solve for x
    x = 27,562,661,547.59/224,136.70
  6. Step 6: Final answer
    x = 122,972.55

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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.