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Finding the Fourth Proportional to 140,452.81, 193,809.67 and 83,094.28

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Solution

The fourth proportional to 140,452.81, 193,809.67 and 83,094.28 is: 114,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,452.81 : 193,809.67 = 83,094.28 : x
  2. Step 2: Convert to fraction form
    140,452.81/193,809.67 = 83,094.28/x
  3. Step 3: Cross multiply
    140,452.81x = 193,809.67 × 83,094.28
  4. Step 4: Simplify right side
    140,452.81x = 16,104,474,293.43
  5. Step 5: Solve for x
    x = 16,104,474,293.43/140,452.81
  6. Step 6: Final answer
    x = 114,661.11

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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.