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Finding the Fourth Proportional to 231,952.54, 320,089.08 and 136,465.38

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Solution

The fourth proportional to 231,952.54, 320,089.08 and 136,465.38 is: 188,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,952.54 : 320,089.08 = 136,465.38 : x
  2. Step 2: Convert to fraction form
    231,952.54/320,089.08 = 136,465.38/x
  3. Step 3: Cross multiply
    231,952.54x = 320,089.08 × 136,465.38
  4. Step 4: Simplify right side
    231,952.54x = 43,681,077,936.05
  5. Step 5: Solve for x
    x = 43,681,077,936.05/231,952.54
  6. Step 6: Final answer
    x = 188,319.03

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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.