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Finding the Fourth Proportional to 228,937.14, 315,999.09 and 138,278.70

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Solution

The fourth proportional to 228,937.14, 315,999.09 and 138,278.70 is: 190,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,937.14 : 315,999.09 = 138,278.70 : x
  2. Step 2: Convert to fraction form
    228,937.14/315,999.09 = 138,278.70/x
  3. Step 3: Cross multiply
    228,937.14x = 315,999.09 × 138,278.70
  4. Step 4: Simplify right side
    228,937.14x = 43,695,943,366.38
  5. Step 5: Solve for x
    x = 43,695,943,366.38/228,937.14
  6. Step 6: Final answer
    x = 190,864.37

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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.