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Finding the Fourth Proportional to 241,141.44, 332,844.48 and 145,632

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Solution

The fourth proportional to 241,141.44, 332,844.48 and 145,632 is: 201,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,141.44 : 332,844.48 = 145,632 : x
  2. Step 2: Convert to fraction form
    241,141.44/332,844.48 = 145,632/x
  3. Step 3: Cross multiply
    241,141.44x = 332,844.48 × 145,632
  4. Step 4: Simplify right side
    241,141.44x = 48,472,807,311.36
  5. Step 5: Solve for x
    x = 48,472,807,311.36/241,141.44
  6. Step 6: Final answer
    x = 201,014.01

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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.