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Finding the Fourth Proportional to 210,738.68, 290,821.67 and 115,243.32

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Solution

The fourth proportional to 210,738.68, 290,821.67 and 115,243.32 is: 159,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,738.68 : 290,821.67 = 115,243.32 : x
  2. Step 2: Convert to fraction form
    210,738.68/290,821.67 = 115,243.32/x
  3. Step 3: Cross multiply
    210,738.68x = 290,821.67 × 115,243.32
  4. Step 4: Simplify right side
    210,738.68x = 33,515,254,202.53
  5. Step 5: Solve for x
    x = 33,515,254,202.53/210,738.68
  6. Step 6: Final answer
    x = 159,037.04

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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.