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Finding the Fourth Proportional to 210,191.36, 290,040.32 and 120,796.16

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Solution

The fourth proportional to 210,191.36, 290,040.32 and 120,796.16 is: 166,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,191.36 : 290,040.32 = 120,796.16 : x
  2. Step 2: Convert to fraction form
    210,191.36/290,040.32 = 120,796.16/x
  3. Step 3: Cross multiply
    210,191.36x = 290,040.32 × 120,796.16
  4. Step 4: Simplify right side
    210,191.36x = 35,035,756,901.17
  5. Step 5: Solve for x
    x = 35,035,756,901.17/210,191.36
  6. Step 6: Final answer
    x = 166,685.05

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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.