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Finding the Fourth Proportional to 227,661.38, 314,159.06 and 125,684.31

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Solution

The fourth proportional to 227,661.38, 314,159.06 and 125,684.31 is: 173,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,661.38 : 314,159.06 = 125,684.31 : x
  2. Step 2: Convert to fraction form
    227,661.38/314,159.06 = 125,684.31/x
  3. Step 3: Cross multiply
    227,661.38x = 314,159.06 × 125,684.31
  4. Step 4: Simplify right side
    227,661.38x = 39,484,863,704.54
  5. Step 5: Solve for x
    x = 39,484,863,704.54/227,661.38
  6. Step 6: Final answer
    x = 173,436.81

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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.