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Finding the Fourth Proportional to 211,034.94, 291,216.67 and 115,523.16

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Solution

The fourth proportional to 211,034.94, 291,216.67 and 115,523.16 is: 159,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,034.94 : 291,216.67 = 115,523.16 : x
  2. Step 2: Convert to fraction form
    211,034.94/291,216.67 = 115,523.16/x
  3. Step 3: Cross multiply
    211,034.94x = 291,216.67 × 115,523.16
  4. Step 4: Simplify right side
    211,034.94x = 33,642,269,963.08
  5. Step 5: Solve for x
    x = 33,642,269,963.08/211,034.94
  6. Step 6: Final answer
    x = 159,415.64

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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.