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Finding the Fourth Proportional to 211,063.53, 291,268.14 and 114,268.40

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Solution

The fourth proportional to 211,063.53, 291,268.14 and 114,268.40 is: 157,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,063.53 : 291,268.14 = 114,268.40 : x
  2. Step 2: Convert to fraction form
    211,063.53/291,268.14 = 114,268.40/x
  3. Step 3: Cross multiply
    211,063.53x = 291,268.14 × 114,268.40
  4. Step 4: Simplify right side
    211,063.53x = 33,282,744,628.44
  5. Step 5: Solve for x
    x = 33,282,744,628.44/211,063.53
  6. Step 6: Final answer
    x = 157,690.65

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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.