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Finding the Fourth Proportional to 211,414, 291,724.58 and 115,895.56

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Solution

The fourth proportional to 211,414, 291,724.58 and 115,895.56 is: 159,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,414 : 291,724.58 = 115,895.56 : x
  2. Step 2: Convert to fraction form
    211,414/291,724.58 = 115,895.56/x
  3. Step 3: Cross multiply
    211,414x = 291,724.58 × 115,895.56
  4. Step 4: Simplify right side
    211,414x = 33,809,583,564.86
  5. Step 5: Solve for x
    x = 33,809,583,564.86/211,414
  6. Step 6: Final answer
    x = 159,921.21

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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.