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Finding the Fourth Proportional to 211,220.97, 291,473.78 and 120,573.33

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Solution

The fourth proportional to 211,220.97, 291,473.78 and 120,573.33 is: 166,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,220.97 : 291,473.78 = 120,573.33 : x
  2. Step 2: Convert to fraction form
    211,220.97/291,473.78 = 120,573.33/x
  3. Step 3: Cross multiply
    211,220.97x = 291,473.78 × 120,573.33
  4. Step 4: Simplify right side
    211,220.97x = 35,143,962,804.92
  5. Step 5: Solve for x
    x = 35,143,962,804.92/211,220.97
  6. Step 6: Final answer
    x = 166,384.82

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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.