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Finding the Fourth Proportional to 172,662.10, 238,218.86 and 97,196.02

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Solution

The fourth proportional to 172,662.10, 238,218.86 and 97,196.02 is: 134,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,662.10 : 238,218.86 = 97,196.02 : x
  2. Step 2: Convert to fraction form
    172,662.10/238,218.86 = 97,196.02/x
  3. Step 3: Cross multiply
    172,662.10x = 238,218.86 × 97,196.02
  4. Step 4: Simplify right side
    172,662.10x = 23,153,924,728.38
  5. Step 5: Solve for x
    x = 23,153,924,728.38/172,662.10
  6. Step 6: Final answer
    x = 134,099.64

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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.