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Finding the Fourth Proportional to 224,231.52, 309,435.75 and 122,261.16

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Solution

The fourth proportional to 224,231.52, 309,435.75 and 122,261.16 is: 168,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,231.52 : 309,435.75 = 122,261.16 : x
  2. Step 2: Convert to fraction form
    224,231.52/309,435.75 = 122,261.16/x
  3. Step 3: Cross multiply
    224,231.52x = 309,435.75 × 122,261.16
  4. Step 4: Simplify right side
    224,231.52x = 37,831,973,740.47
  5. Step 5: Solve for x
    x = 37,831,973,740.47/224,231.52
  6. Step 6: Final answer
    x = 168,718.36

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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.