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Finding the Fourth Proportional to 193,866.05, 267,495.54 and 113,278

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Solution

The fourth proportional to 193,866.05, 267,495.54 and 113,278 is: 156,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,866.05 : 267,495.54 = 113,278 : x
  2. Step 2: Convert to fraction form
    193,866.05/267,495.54 = 113,278/x
  3. Step 3: Cross multiply
    193,866.05x = 267,495.54 × 113,278
  4. Step 4: Simplify right side
    193,866.05x = 30,301,359,780.12
  5. Step 5: Solve for x
    x = 30,301,359,780.12/193,866.05
  6. Step 6: Final answer
    x = 156,300.50

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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.