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Finding the Fourth Proportional to 214,049.36, 295,263.96 and 138,599.48

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Solution

The fourth proportional to 214,049.36, 295,263.96 and 138,599.48 is: 191,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,049.36 : 295,263.96 = 138,599.48 : x
  2. Step 2: Convert to fraction form
    214,049.36/295,263.96 = 138,599.48/x
  3. Step 3: Cross multiply
    214,049.36x = 295,263.96 × 138,599.48
  4. Step 4: Simplify right side
    214,049.36x = 40,923,431,318.74
  5. Step 5: Solve for x
    x = 40,923,431,318.74/214,049.36
  6. Step 6: Final answer
    x = 191,186.89

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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.