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Finding the Fourth Proportional to 147,772.75, 203,927.69 and 84,114.64

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Solution

The fourth proportional to 147,772.75, 203,927.69 and 84,114.64 is: 116,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,772.75 : 203,927.69 = 84,114.64 : x
  2. Step 2: Convert to fraction form
    147,772.75/203,927.69 = 84,114.64/x
  3. Step 3: Cross multiply
    147,772.75x = 203,927.69 × 84,114.64
  4. Step 4: Simplify right side
    147,772.75x = 17,153,304,230.38
  5. Step 5: Solve for x
    x = 17,153,304,230.38/147,772.75
  6. Step 6: Final answer
    x = 116,078.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.