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Finding the Fourth Proportional to 211,477.68, 317,022.26 and 91,459.56

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Solution

The fourth proportional to 211,477.68, 317,022.26 and 91,459.56 is: 137,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477.68 : 317,022.26 = 91,459.56 : x
  2. Step 2: Convert to fraction form
    211,477.68/317,022.26 = 91,459.56/x
  3. Step 3: Cross multiply
    211,477.68x = 317,022.26 × 91,459.56
  4. Step 4: Simplify right side
    211,477.68x = 28,994,715,952.51
  5. Step 5: Solve for x
    x = 28,994,715,952.51/211,477.68
  6. Step 6: Final answer
    x = 137,105.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.