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Finding the Fourth Proportional to 211,472.16, 291,804.54 and 120,833.94

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Solution

The fourth proportional to 211,472.16, 291,804.54 and 120,833.94 is: 166,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,472.16 : 291,804.54 = 120,833.94 : x
  2. Step 2: Convert to fraction form
    211,472.16/291,804.54 = 120,833.94/x
  3. Step 3: Cross multiply
    211,472.16x = 291,804.54 × 120,833.94
  4. Step 4: Simplify right side
    211,472.16x = 35,259,892,278.09
  5. Step 5: Solve for x
    x = 35,259,892,278.09/211,472.16
  6. Step 6: Final answer
    x = 166,735.39

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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.