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Finding the Fourth Proportional to 210,524.81, 290,520.81 and 115,029.45

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Solution

The fourth proportional to 210,524.81, 290,520.81 and 115,029.45 is: 158,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,524.81 : 290,520.81 = 115,029.45 : x
  2. Step 2: Convert to fraction form
    210,524.81/290,520.81 = 115,029.45/x
  3. Step 3: Cross multiply
    210,524.81x = 290,520.81 × 115,029.45
  4. Step 4: Simplify right side
    210,524.81x = 33,418,448,987.85
  5. Step 5: Solve for x
    x = 33,418,448,987.85/210,524.81
  6. Step 6: Final answer
    x = 158,738.77

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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.