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Finding the Fourth Proportional to 228,588.06, 315,400.59 and 137,958.78

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Solution

The fourth proportional to 228,588.06, 315,400.59 and 137,958.78 is: 190,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,588.06 : 315,400.59 = 137,958.78 : x
  2. Step 2: Convert to fraction form
    228,588.06/315,400.59 = 137,958.78/x
  3. Step 3: Cross multiply
    228,588.06x = 315,400.59 × 137,958.78
  4. Step 4: Simplify right side
    228,588.06x = 43,512,280,607.68
  5. Step 5: Solve for x
    x = 43,512,280,607.68/228,588.06
  6. Step 6: Final answer
    x = 190,352.38

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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.