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Finding the Fourth Proportional to 227,946.13, 314,571.95 and 125,978.20

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Solution

The fourth proportional to 227,946.13, 314,571.95 and 125,978.20 is: 173,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,946.13 : 314,571.95 = 125,978.20 : x
  2. Step 2: Convert to fraction form
    227,946.13/314,571.95 = 125,978.20/x
  3. Step 3: Cross multiply
    227,946.13x = 314,571.95 × 125,978.20
  4. Step 4: Simplify right side
    227,946.13x = 39,629,207,401.60
  5. Step 5: Solve for x
    x = 39,629,207,401.60/227,946.13
  6. Step 6: Final answer
    x = 173,853.39

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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.