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Finding the Fourth Proportional to 147,782.84, 203,940.54 and 84,120.62

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Solution

The fourth proportional to 147,782.84, 203,940.54 and 84,120.62 is: 116,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.84 : 203,940.54 = 84,120.62 : x
  2. Step 2: Convert to fraction form
    147,782.84/203,940.54 = 84,120.62/x
  3. Step 3: Cross multiply
    147,782.84x = 203,940.54 × 84,120.62
  4. Step 4: Simplify right side
    147,782.84x = 17,155,603,648.23
  5. Step 5: Solve for x
    x = 17,155,603,648.23/147,782.84
  6. Step 6: Final answer
    x = 116,086.58

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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.