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Finding the Fourth Proportional to 172,453.68, 237,983.64 and 97,002

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Solution

The fourth proportional to 172,453.68, 237,983.64 and 97,002 is: 133,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,453.68 : 237,983.64 = 97,002 : x
  2. Step 2: Convert to fraction form
    172,453.68/237,983.64 = 97,002/x
  3. Step 3: Cross multiply
    172,453.68x = 237,983.64 × 97,002
  4. Step 4: Simplify right side
    172,453.68x = 23,084,889,047.28
  5. Step 5: Solve for x
    x = 23,084,889,047.28/172,453.68
  6. Step 6: Final answer
    x = 133,861.39

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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.