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Finding the Fourth Proportional to 224,106.26, 309,258.77 and 122,129.64

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Solution

The fourth proportional to 224,106.26, 309,258.77 and 122,129.64 is: 168,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,106.26 : 309,258.77 = 122,129.64 : x
  2. Step 2: Convert to fraction form
    224,106.26/309,258.77 = 122,129.64/x
  3. Step 3: Cross multiply
    224,106.26x = 309,258.77 × 122,129.64
  4. Step 4: Simplify right side
    224,106.26x = 37,769,661,636.29
  5. Step 5: Solve for x
    x = 37,769,661,636.29/224,106.26
  6. Step 6: Final answer
    x = 168,534.62

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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.