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Finding the Fourth Proportional to 224,070.30, 309,213 and 122,096.64

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Solution

The fourth proportional to 224,070.30, 309,213 and 122,096.64 is: 168,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,070.30 : 309,213 = 122,096.64 : x
  2. Step 2: Convert to fraction form
    224,070.30/309,213 = 122,096.64/x
  3. Step 3: Cross multiply
    224,070.30x = 309,213 × 122,096.64
  4. Step 4: Simplify right side
    224,070.30x = 37,753,868,344.32
  5. Step 5: Solve for x
    x = 37,753,868,344.32/224,070.30
  6. Step 6: Final answer
    x = 168,491.18

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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.