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Finding the Fourth Proportional to 147,662.01, 203,751.54 and 83,121.93

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Solution

The fourth proportional to 147,662.01, 203,751.54 and 83,121.93 is: 114,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,662.01 : 203,751.54 = 83,121.93 : x
  2. Step 2: Convert to fraction form
    147,662.01/203,751.54 = 83,121.93/x
  3. Step 3: Cross multiply
    147,662.01x = 203,751.54 × 83,121.93
  4. Step 4: Simplify right side
    147,662.01x = 16,936,221,245.27
  5. Step 5: Solve for x
    x = 16,936,221,245.27/147,662.01
  6. Step 6: Final answer
    x = 114,695.86

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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.