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Finding the Fourth Proportional to 224,088.57, 309,238.16 and 122,114.88

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Solution

The fourth proportional to 224,088.57, 309,238.16 and 122,114.88 is: 168,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,088.57 : 309,238.16 = 122,114.88 : x
  2. Step 2: Convert to fraction form
    224,088.57/309,238.16 = 122,114.88/x
  3. Step 3: Cross multiply
    224,088.57x = 309,238.16 × 122,114.88
  4. Step 4: Simplify right side
    224,088.57x = 37,762,580,189.25
  5. Step 5: Solve for x
    x = 37,762,580,189.25/224,088.57
  6. Step 6: Final answer
    x = 168,516.32

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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.