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Finding the Fourth Proportional to 224,056.14, 309,193.14 and 122,080.38

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Solution

The fourth proportional to 224,056.14, 309,193.14 and 122,080.38 is: 168,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,056.14 : 309,193.14 = 122,080.38 : x
  2. Step 2: Convert to fraction form
    224,056.14/309,193.14 = 122,080.38/x
  3. Step 3: Cross multiply
    224,056.14x = 309,193.14 × 122,080.38
  4. Step 4: Simplify right side
    224,056.14x = 37,746,416,024.59
  5. Step 5: Solve for x
    x = 37,746,416,024.59/224,056.14
  6. Step 6: Final answer
    x = 168,468.56

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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.