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Finding the Fourth Proportional to 206,478.77, 284,913.42 and 115,831.26

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Solution

The fourth proportional to 206,478.77, 284,913.42 and 115,831.26 is: 159,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.77 : 284,913.42 = 115,831.26 : x
  2. Step 2: Convert to fraction form
    206,478.77/284,913.42 = 115,831.26/x
  3. Step 3: Cross multiply
    206,478.77x = 284,913.42 × 115,831.26
  4. Step 4: Simplify right side
    206,478.77x = 33,001,880,429.51
  5. Step 5: Solve for x
    x = 33,001,880,429.51/206,478.77
  6. Step 6: Final answer
    x = 159,831.83

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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.