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Finding the Fourth Proportional to 211,208.96, 291,476.40 and 120,579.68

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Solution

The fourth proportional to 211,208.96, 291,476.40 and 120,579.68 is: 166,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,208.96 : 291,476.40 = 120,579.68 : x
  2. Step 2: Convert to fraction form
    211,208.96/291,476.40 = 120,579.68/x
  3. Step 3: Cross multiply
    211,208.96x = 291,476.40 × 120,579.68
  4. Step 4: Simplify right side
    211,208.96x = 35,146,131,039.55
  5. Step 5: Solve for x
    x = 35,146,131,039.55/211,208.96
  6. Step 6: Final answer
    x = 166,404.55

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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.