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Finding the Fourth Proportional to 193,365, 266,892.75 and 132,135.99

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Solution

The fourth proportional to 193,365, 266,892.75 and 132,135.99 is: 182,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,365 : 266,892.75 = 132,135.99 : x
  2. Step 2: Convert to fraction form
    193,365/266,892.75 = 132,135.99/x
  3. Step 3: Cross multiply
    193,365x = 266,892.75 × 132,135.99
  4. Step 4: Simplify right side
    193,365x = 35,266,135,749.93
  5. Step 5: Solve for x
    x = 35,266,135,749.93/193,365
  6. Step 6: Final answer
    x = 182,381.17

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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.