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Finding the Fourth Proportional to 193,040.30, 289,425.45 and 114,113.90

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Solution

The fourth proportional to 193,040.30, 289,425.45 and 114,113.90 is: 171,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,040.30 : 289,425.45 = 114,113.90 : x
  2. Step 2: Convert to fraction form
    193,040.30/289,425.45 = 114,113.90/x
  3. Step 3: Cross multiply
    193,040.30x = 289,425.45 × 114,113.90
  4. Step 4: Simplify right side
    193,040.30x = 33,027,466,858.76
  5. Step 5: Solve for x
    x = 33,027,466,858.76/193,040.30
  6. Step 6: Final answer
    x = 171,091.05

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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.