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Finding the Fourth Proportional to 133,217.84, 183,831.78 and 75,863

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Solution

The fourth proportional to 133,217.84, 183,831.78 and 75,863 is: 104,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,217.84 : 183,831.78 = 75,863 : x
  2. Step 2: Convert to fraction form
    133,217.84/183,831.78 = 75,863/x
  3. Step 3: Cross multiply
    133,217.84x = 183,831.78 × 75,863
  4. Step 4: Simplify right side
    133,217.84x = 13,946,030,326.14
  5. Step 5: Solve for x
    x = 13,946,030,326.14/133,217.84
  6. Step 6: Final answer
    x = 104,685.91

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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.