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Finding the Fourth Proportional to 224,242.36, 309,439.74 and 123,641.08

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Solution

The fourth proportional to 224,242.36, 309,439.74 and 123,641.08 is: 170,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,242.36 : 309,439.74 = 123,641.08 : x
  2. Step 2: Convert to fraction form
    224,242.36/309,439.74 = 123,641.08/x
  3. Step 3: Cross multiply
    224,242.36x = 309,439.74 × 123,641.08
  4. Step 4: Simplify right side
    224,242.36x = 38,259,463,648.52
  5. Step 5: Solve for x
    x = 38,259,463,648.52/224,242.36
  6. Step 6: Final answer
    x = 170,616.58

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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.