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Finding the Fourth Proportional to 126,846, 190,261.71 and 38,097.54

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Solution

The fourth proportional to 126,846, 190,261.71 and 38,097.54 is: 57,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,846 : 190,261.71 = 38,097.54 : x
  2. Step 2: Convert to fraction form
    126,846/190,261.71 = 38,097.54/x
  3. Step 3: Cross multiply
    126,846x = 190,261.71 × 38,097.54
  4. Step 4: Simplify right side
    126,846x = 7,248,503,107.19
  5. Step 5: Solve for x
    x = 7,248,503,107.19/126,846
  6. Step 6: Final answer
    x = 57,144.12

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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.