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Finding the Fourth Proportional to 193,009.86, 289,459.44 and 66,617.28

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Solution

The fourth proportional to 193,009.86, 289,459.44 and 66,617.28 is: 99,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,009.86 : 289,459.44 = 66,617.28 : x
  2. Step 2: Convert to fraction form
    193,009.86/289,459.44 = 66,617.28/x
  3. Step 3: Cross multiply
    193,009.86x = 289,459.44 × 66,617.28
  4. Step 4: Simplify right side
    193,009.86x = 19,283,000,563.12
  5. Step 5: Solve for x
    x = 19,283,000,563.12/193,009.86
  6. Step 6: Final answer
    x = 99,906.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.