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Finding the Fourth Proportional to 211,185.84, 291,457.34 and 120,555.44

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Solution

The fourth proportional to 211,185.84, 291,457.34 and 120,555.44 is: 166,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,185.84 : 291,457.34 = 120,555.44 : x
  2. Step 2: Convert to fraction form
    211,185.84/291,457.34 = 120,555.44/x
  3. Step 3: Cross multiply
    211,185.84x = 291,457.34 × 120,555.44
  4. Step 4: Simplify right side
    211,185.84x = 35,136,767,864.93
  5. Step 5: Solve for x
    x = 35,136,767,864.93/211,185.84
  6. Step 6: Final answer
    x = 166,378.43

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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.