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Finding the Fourth Proportional to 214,073.72, 295,279.34 and 137,689.47

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Solution

The fourth proportional to 214,073.72, 295,279.34 and 137,689.47 is: 189,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,073.72 : 295,279.34 = 137,689.47 : x
  2. Step 2: Convert to fraction form
    214,073.72/295,279.34 = 137,689.47/x
  3. Step 3: Cross multiply
    214,073.72x = 295,279.34 × 137,689.47
  4. Step 4: Simplify right side
    214,073.72x = 40,656,855,138.10
  5. Step 5: Solve for x
    x = 40,656,855,138.10/214,073.72
  6. Step 6: Final answer
    x = 189,919.88

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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.