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Finding the Fourth Proportional to 211,027.93, 291,191.43 and 120,378.49

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Solution

The fourth proportional to 211,027.93, 291,191.43 and 120,378.49 is: 166,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,027.93 : 291,191.43 = 120,378.49 : x
  2. Step 2: Convert to fraction form
    211,027.93/291,191.43 = 120,378.49/x
  3. Step 3: Cross multiply
    211,027.93x = 291,191.43 × 120,378.49
  4. Step 4: Simplify right side
    211,027.93x = 35,053,184,644.34
  5. Step 5: Solve for x
    x = 35,053,184,644.34/211,027.93
  6. Step 6: Final answer
    x = 166,106.85

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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.