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Finding the Fourth Proportional to 227,641.51, 314,143.36 and 125,664.78

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Solution

The fourth proportional to 227,641.51, 314,143.36 and 125,664.78 is: 173,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,641.51 : 314,143.36 = 125,664.78 : x
  2. Step 2: Convert to fraction form
    227,641.51/314,143.36 = 125,664.78/x
  3. Step 3: Cross multiply
    227,641.51x = 314,143.36 × 125,664.78
  4. Step 4: Simplify right side
    227,641.51x = 39,476,757,086.74
  5. Step 5: Solve for x
    x = 39,476,757,086.74/227,641.51
  6. Step 6: Final answer
    x = 173,416.34

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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.