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Finding the Fourth Proportional to 211,199.30, 291,475.94 and 120,568.91

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Solution

The fourth proportional to 211,199.30, 291,475.94 and 120,568.91 is: 166,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,199.30 : 291,475.94 = 120,568.91 : x
  2. Step 2: Convert to fraction form
    211,199.30/291,475.94 = 120,568.91/x
  3. Step 3: Cross multiply
    211,199.30x = 291,475.94 × 120,568.91
  4. Step 4: Simplify right side
    211,199.30x = 35,142,934,316.80
  5. Step 5: Solve for x
    x = 35,142,934,316.80/211,199.30
  6. Step 6: Final answer
    x = 166,397.02

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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.