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Finding the Fourth Proportional to 172,485.14, 238,029.12 and 97,033.64

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Solution

The fourth proportional to 172,485.14, 238,029.12 and 97,033.64 is: 133,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,485.14 : 238,029.12 = 97,033.64 : x
  2. Step 2: Convert to fraction form
    172,485.14/238,029.12 = 97,033.64/x
  3. Step 3: Cross multiply
    172,485.14x = 238,029.12 × 97,033.64
  4. Step 4: Simplify right side
    172,485.14x = 23,096,831,939.60
  5. Step 5: Solve for x
    x = 23,096,831,939.60/172,485.14
  6. Step 6: Final answer
    x = 133,906.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.