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Finding the Fourth Proportional to 172,580.68, 238,105.74 and 97,114.60

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Solution

The fourth proportional to 172,580.68, 238,105.74 and 97,114.60 is: 133,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,580.68 : 238,105.74 = 97,114.60 : x
  2. Step 2: Convert to fraction form
    172,580.68/238,105.74 = 97,114.60/x
  3. Step 3: Cross multiply
    172,580.68x = 238,105.74 × 97,114.60
  4. Step 4: Simplify right side
    172,580.68x = 23,123,543,697.80
  5. Step 5: Solve for x
    x = 23,123,543,697.80/172,580.68
  6. Step 6: Final answer
    x = 133,986.86

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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.