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Finding the Fourth Proportional to 231,994.40, 320,137.11 and 136,482.64

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Solution

The fourth proportional to 231,994.40, 320,137.11 and 136,482.64 is: 188,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,994.40 : 320,137.11 = 136,482.64 : x
  2. Step 2: Convert to fraction form
    231,994.40/320,137.11 = 136,482.64/x
  3. Step 3: Cross multiply
    231,994.40x = 320,137.11 × 136,482.64
  4. Step 4: Simplify right side
    231,994.40x = 43,693,157,134.43
  5. Step 5: Solve for x
    x = 43,693,157,134.43/231,994.40
  6. Step 6: Final answer
    x = 188,337.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.