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Finding the Fourth Proportional to 217,328.28, 299,894.94 and 121,831.80

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Solution

The fourth proportional to 217,328.28, 299,894.94 and 121,831.80 is: 168,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,328.28 : 299,894.94 = 121,831.80 : x
  2. Step 2: Convert to fraction form
    217,328.28/299,894.94 = 121,831.80/x
  3. Step 3: Cross multiply
    217,328.28x = 299,894.94 × 121,831.80
  4. Step 4: Simplify right side
    217,328.28x = 36,536,740,351.09
  5. Step 5: Solve for x
    x = 36,536,740,351.09/217,328.28
  6. Step 6: Final answer
    x = 168,117.74

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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.