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Finding the Fourth Proportional to 210,598.68, 290,616.15 and 115,105.46

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Solution

The fourth proportional to 210,598.68, 290,616.15 and 115,105.46 is: 158,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,598.68 : 290,616.15 = 115,105.46 : x
  2. Step 2: Convert to fraction form
    210,598.68/290,616.15 = 115,105.46/x
  3. Step 3: Cross multiply
    210,598.68x = 290,616.15 × 115,105.46
  4. Step 4: Simplify right side
    210,598.68x = 33,451,504,607.74
  5. Step 5: Solve for x
    x = 33,451,504,607.74/210,598.68
  6. Step 6: Final answer
    x = 158,840.05

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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.