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Finding the Fourth Proportional to 211,008.98, 291,208.57 and 120,366.95

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Solution

The fourth proportional to 211,008.98, 291,208.57 and 120,366.95 is: 166,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,008.98 : 291,208.57 = 120,366.95 : x
  2. Step 2: Convert to fraction form
    211,008.98/291,208.57 = 120,366.95/x
  3. Step 3: Cross multiply
    211,008.98x = 291,208.57 × 120,366.95
  4. Step 4: Simplify right side
    211,008.98x = 35,051,885,627.80
  5. Step 5: Solve for x
    x = 35,051,885,627.80/211,008.98
  6. Step 6: Final answer
    x = 166,115.61

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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.