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Finding the Fourth Proportional to 224,033.36, 309,165.86 and 123,431.36

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Solution

The fourth proportional to 224,033.36, 309,165.86 and 123,431.36 is: 170,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,033.36 : 309,165.86 = 123,431.36 : x
  2. Step 2: Convert to fraction form
    224,033.36/309,165.86 = 123,431.36/x
  3. Step 3: Cross multiply
    224,033.36x = 309,165.86 × 123,431.36
  4. Step 4: Simplify right side
    224,033.36x = 38,160,761,328.12
  5. Step 5: Solve for x
    x = 38,160,761,328.12/224,033.36
  6. Step 6: Final answer
    x = 170,335.18

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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.