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Finding the Fourth Proportional to 241,713.66, 360,989.78 and 205,792.02

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Solution

The fourth proportional to 241,713.66, 360,989.78 and 205,792.02 is: 307,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,713.66 : 360,989.78 = 205,792.02 : x
  2. Step 2: Convert to fraction form
    241,713.66/360,989.78 = 205,792.02/x
  3. Step 3: Cross multiply
    241,713.66x = 360,989.78 × 205,792.02
  4. Step 4: Simplify right side
    241,713.66x = 74,288,816,025.56
  5. Step 5: Solve for x
    x = 74,288,816,025.56/241,713.66
  6. Step 6: Final answer
    x = 307,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.