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Finding the Fourth Proportional to 224,114.94, 309,274.74 and 122,141.52

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Solution

The fourth proportional to 224,114.94, 309,274.74 and 122,141.52 is: 168,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,114.94 : 309,274.74 = 122,141.52 : x
  2. Step 2: Convert to fraction form
    224,114.94/309,274.74 = 122,141.52/x
  3. Step 3: Cross multiply
    224,114.94x = 309,274.74 × 122,141.52
  4. Step 4: Simplify right side
    224,114.94x = 37,775,286,841.20
  5. Step 5: Solve for x
    x = 37,775,286,841.20/224,114.94
  6. Step 6: Final answer
    x = 168,553.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.