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Finding the Fourth Proportional to 210,343.84, 290,286.26 and 114,859.40

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Solution

The fourth proportional to 210,343.84, 290,286.26 and 114,859.40 is: 158,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,343.84 : 290,286.26 = 114,859.40 : x
  2. Step 2: Convert to fraction form
    210,343.84/290,286.26 = 114,859.40/x
  3. Step 3: Cross multiply
    210,343.84x = 290,286.26 × 114,859.40
  4. Step 4: Simplify right side
    210,343.84x = 33,342,105,651.84
  5. Step 5: Solve for x
    x = 33,342,105,651.84/210,343.84
  6. Step 6: Final answer
    x = 158,512.39

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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.