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Finding the Fourth Proportional to 149,836, 224,786.24 and 44,663.36

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Solution

The fourth proportional to 149,836, 224,786.24 and 44,663.36 is: 67,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,836 : 224,786.24 = 44,663.36 : x
  2. Step 2: Convert to fraction form
    149,836/224,786.24 = 44,663.36/x
  3. Step 3: Cross multiply
    149,836x = 224,786.24 × 44,663.36
  4. Step 4: Simplify right side
    149,836x = 10,039,708,760.17
  5. Step 5: Solve for x
    x = 10,039,708,760.17/149,836
  6. Step 6: Final answer
    x = 67,004.65

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