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Finding the Fourth Proportional to 224,084.80, 336,256.80 and 83,857.60

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Solution

The fourth proportional to 224,084.80, 336,256.80 and 83,857.60 is: 125,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,084.80 : 336,256.80 = 83,857.60 : x
  2. Step 2: Convert to fraction form
    224,084.80/336,256.80 = 83,857.60/x
  3. Step 3: Cross multiply
    224,084.80x = 336,256.80 × 83,857.60
  4. Step 4: Simplify right side
    224,084.80x = 28,197,688,231.68
  5. Step 5: Solve for x
    x = 28,197,688,231.68/224,084.80
  6. Step 6: Final answer
    x = 125,834.90

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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.