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Finding the Fourth Proportional to 210,414.44, 290,373.54 and 114,919.40

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Solution

The fourth proportional to 210,414.44, 290,373.54 and 114,919.40 is: 158,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.44 : 290,373.54 = 114,919.40 : x
  2. Step 2: Convert to fraction form
    210,414.44/290,373.54 = 114,919.40/x
  3. Step 3: Cross multiply
    210,414.44x = 290,373.54 × 114,919.40
  4. Step 4: Simplify right side
    210,414.44x = 33,369,552,992.68
  5. Step 5: Solve for x
    x = 33,369,552,992.68/210,414.44
  6. Step 6: Final answer
    x = 158,589.65

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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.