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Finding the Fourth Proportional to 228,213.61, 314,858.29 and 131,415.38

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Solution

The fourth proportional to 228,213.61, 314,858.29 and 131,415.38 is: 181,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,213.61 : 314,858.29 = 131,415.38 : x
  2. Step 2: Convert to fraction form
    228,213.61/314,858.29 = 131,415.38/x
  3. Step 3: Cross multiply
    228,213.61x = 314,858.29 × 131,415.38
  4. Step 4: Simplify right side
    228,213.61x = 41,377,221,169.42
  5. Step 5: Solve for x
    x = 41,377,221,169.42/228,213.61
  6. Step 6: Final answer
    x = 181,309.18

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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.