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Finding the Fourth Proportional to 211,200.30, 291,477.32 and 120,569.91

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Solution

The fourth proportional to 211,200.30, 291,477.32 and 120,569.91 is: 166,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,200.30 : 291,477.32 = 120,569.91 : x
  2. Step 2: Convert to fraction form
    211,200.30/291,477.32 = 120,569.91/x
  3. Step 3: Cross multiply
    211,200.30x = 291,477.32 × 120,569.91
  4. Step 4: Simplify right side
    211,200.30x = 35,143,394,239.44
  5. Step 5: Solve for x
    x = 35,143,394,239.44/211,200.30
  6. Step 6: Final answer
    x = 166,398.41

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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.