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Finding the Fourth Proportional to 241,777.76, 362,728.16 and 142,022.32

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Solution

The fourth proportional to 241,777.76, 362,728.16 and 142,022.32 is: 213,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,777.76 : 362,728.16 = 142,022.32 : x
  2. Step 2: Convert to fraction form
    241,777.76/362,728.16 = 142,022.32/x
  3. Step 3: Cross multiply
    241,777.76x = 362,728.16 × 142,022.32
  4. Step 4: Simplify right side
    241,777.76x = 51,515,494,812.53
  5. Step 5: Solve for x
    x = 51,515,494,812.53/241,777.76
  6. Step 6: Final answer
    x = 213,069.62

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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.