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Finding the Fourth Proportional to 227,797.85, 314,359.79 and 125,830.33

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Solution

The fourth proportional to 227,797.85, 314,359.79 and 125,830.33 is: 173,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,797.85 : 314,359.79 = 125,830.33 : x
  2. Step 2: Convert to fraction form
    227,797.85/314,359.79 = 125,830.33/x
  3. Step 3: Cross multiply
    227,797.85x = 314,359.79 × 125,830.33
  4. Step 4: Simplify right side
    227,797.85x = 39,555,994,699.38
  5. Step 5: Solve for x
    x = 39,555,994,699.38/227,797.85
  6. Step 6: Final answer
    x = 173,645.16

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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.