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Finding the Fourth Proportional to 217,151.25, 299,661.48 and 120,350.98

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Solution

The fourth proportional to 217,151.25, 299,661.48 and 120,350.98 is: 166,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,151.25 : 299,661.48 = 120,350.98 : x
  2. Step 2: Convert to fraction form
    217,151.25/299,661.48 = 120,350.98/x
  3. Step 3: Cross multiply
    217,151.25x = 299,661.48 × 120,350.98
  4. Step 4: Simplify right side
    217,151.25x = 36,064,552,786.25
  5. Step 5: Solve for x
    x = 36,064,552,786.25/217,151.25
  6. Step 6: Final answer
    x = 166,080.34

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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.