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Finding the Fourth Proportional to 211,596.30, 291,984.30 and 120,934.26

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Solution

The fourth proportional to 211,596.30, 291,984.30 and 120,934.26 is: 166,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,596.30 : 291,984.30 = 120,934.26 : x
  2. Step 2: Convert to fraction form
    211,596.30/291,984.30 = 120,934.26/x
  3. Step 3: Cross multiply
    211,596.30x = 291,984.30 × 120,934.26
  4. Step 4: Simplify right side
    211,596.30x = 35,310,905,252.12
  5. Step 5: Solve for x
    x = 35,310,905,252.12/211,596.30
  6. Step 6: Final answer
    x = 166,878.65

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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.