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Finding the Fourth Proportional to 110,965, 153,132.24 and 60,664

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Solution

The fourth proportional to 110,965, 153,132.24 and 60,664 is: 83,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,965 : 153,132.24 = 60,664 : x
  2. Step 2: Convert to fraction form
    110,965/153,132.24 = 60,664/x
  3. Step 3: Cross multiply
    110,965x = 153,132.24 × 60,664
  4. Step 4: Simplify right side
    110,965x = 9,289,614,207.36
  5. Step 5: Solve for x
    x = 9,289,614,207.36/110,965
  6. Step 6: Final answer
    x = 83,716.62

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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.