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Finding the Fourth Proportional to 218,819.84, 301,972.20 and 138,283.16

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Solution

The fourth proportional to 218,819.84, 301,972.20 and 138,283.16 is: 190,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,819.84 : 301,972.20 = 138,283.16 : x
  2. Step 2: Convert to fraction form
    218,819.84/301,972.20 = 138,283.16/x
  3. Step 3: Cross multiply
    218,819.84x = 301,972.20 × 138,283.16
  4. Step 4: Simplify right side
    218,819.84x = 41,757,670,048.15
  5. Step 5: Solve for x
    x = 41,757,670,048.15/218,819.84
  6. Step 6: Final answer
    x = 190,831.28

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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.