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Finding the Fourth Proportional to 227,978.21, 314,600.14 and 125,998.40

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Solution

The fourth proportional to 227,978.21, 314,600.14 and 125,998.40 is: 173,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,978.21 : 314,600.14 = 125,998.40 : x
  2. Step 2: Convert to fraction form
    227,978.21/314,600.14 = 125,998.40/x
  3. Step 3: Cross multiply
    227,978.21x = 314,600.14 × 125,998.40
  4. Step 4: Simplify right side
    227,978.21x = 39,639,114,279.78
  5. Step 5: Solve for x
    x = 39,639,114,279.78/227,978.21
  6. Step 6: Final answer
    x = 173,872.38

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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.