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Finding the Fourth Proportional to 227,976, 314,607 and 127,374

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Solution

The fourth proportional to 227,976, 314,607 and 127,374 is: 175,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,976 : 314,607 = 127,374 : x
  2. Step 2: Convert to fraction form
    227,976/314,607 = 127,374/x
  3. Step 3: Cross multiply
    227,976x = 314,607 × 127,374
  4. Step 4: Simplify right side
    227,976x = 40,072,752,018
  5. Step 5: Solve for x
    x = 40,072,752,018/227,976
  6. Step 6: Final answer
    x = 175,776.19

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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.