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Finding the Fourth Proportional to 192,951.70, 289,330.35 and 114,090.10

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Solution

The fourth proportional to 192,951.70, 289,330.35 and 114,090.10 is: 171,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,951.70 : 289,330.35 = 114,090.10 : x
  2. Step 2: Convert to fraction form
    192,951.70/289,330.35 = 114,090.10/x
  3. Step 3: Cross multiply
    192,951.70x = 289,330.35 × 114,090.10
  4. Step 4: Simplify right side
    192,951.70x = 33,009,728,564.54
  5. Step 5: Solve for x
    x = 33,009,728,564.54/192,951.70
  6. Step 6: Final answer
    x = 171,077.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.