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Finding the Fourth Proportional to 231,994.50, 320,146.97 and 136,507.38

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Solution

The fourth proportional to 231,994.50, 320,146.97 and 136,507.38 is: 188,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,994.50 : 320,146.97 = 136,507.38 : x
  2. Step 2: Convert to fraction form
    231,994.50/320,146.97 = 136,507.38/x
  3. Step 3: Cross multiply
    231,994.50x = 320,146.97 × 136,507.38
  4. Step 4: Simplify right side
    231,994.50x = 43,702,423,407.10
  5. Step 5: Solve for x
    x = 43,702,423,407.10/231,994.50
  6. Step 6: Final answer
    x = 188,376.98

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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.