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Finding the Fourth Proportional to 224,403.82, 309,670.54 and 122,431.30

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Solution

The fourth proportional to 224,403.82, 309,670.54 and 122,431.30 is: 168,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403.82 : 309,670.54 = 122,431.30 : x
  2. Step 2: Convert to fraction form
    224,403.82/309,670.54 = 122,431.30/x
  3. Step 3: Cross multiply
    224,403.82x = 309,670.54 × 122,431.30
  4. Step 4: Simplify right side
    224,403.82x = 37,913,366,392.32
  5. Step 5: Solve for x
    x = 37,913,366,392.32/224,403.82
  6. Step 6: Final answer
    x = 168,951.52

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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.