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Finding the Fourth Proportional to 116,697.20, 161,013.69 and 65,700

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Solution

The fourth proportional to 116,697.20, 161,013.69 and 65,700 is: 90,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,697.20 : 161,013.69 = 65,700 : x
  2. Step 2: Convert to fraction form
    116,697.20/161,013.69 = 65,700/x
  3. Step 3: Cross multiply
    116,697.20x = 161,013.69 × 65,700
  4. Step 4: Simplify right side
    116,697.20x = 10,578,599,433
  5. Step 5: Solve for x
    x = 10,578,599,433/116,697.20
  6. Step 6: Final answer
    x = 90,649.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.