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Finding the Fourth Proportional to 214,868.60, 296,536.32 and 138,546.57

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Solution

The fourth proportional to 214,868.60, 296,536.32 and 138,546.57 is: 191,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,868.60 : 296,536.32 = 138,546.57 : x
  2. Step 2: Convert to fraction form
    214,868.60/296,536.32 = 138,546.57/x
  3. Step 3: Cross multiply
    214,868.60x = 296,536.32 × 138,546.57
  4. Step 4: Simplify right side
    214,868.60x = 41,084,090,016.42
  5. Step 5: Solve for x
    x = 41,084,090,016.42/214,868.60
  6. Step 6: Final answer
    x = 191,205.65

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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.