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Finding the Fourth Proportional to 227,907.88, 314,308.56 and 189,793.63

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Solution

The fourth proportional to 227,907.88, 314,308.56 and 189,793.63 is: 261,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907.88 : 314,308.56 = 189,793.63 : x
  2. Step 2: Convert to fraction form
    227,907.88/314,308.56 = 189,793.63/x
  3. Step 3: Cross multiply
    227,907.88x = 314,308.56 × 189,793.63
  4. Step 4: Simplify right side
    227,907.88x = 59,653,762,542.47
  5. Step 5: Solve for x
    x = 59,653,762,542.47/227,907.88
  6. Step 6: Final answer
    x = 261,745.06

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1.5x scale

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.