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Finding the Fourth Proportional to 193,187.80, 289,911.30 and 114,218.20

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Solution

The fourth proportional to 193,187.80, 289,911.30 and 114,218.20 is: 171,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,187.80 : 289,911.30 = 114,218.20 : x
  2. Step 2: Convert to fraction form
    193,187.80/289,911.30 = 114,218.20/x
  3. Step 3: Cross multiply
    193,187.80x = 289,911.30 × 114,218.20
  4. Step 4: Simplify right side
    193,187.80x = 33,113,146,845.66
  5. Step 5: Solve for x
    x = 33,113,146,845.66/193,187.80
  6. Step 6: Final answer
    x = 171,403.92

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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.