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Finding the Fourth Proportional to 211,082.85, 291,294.47 and 115,589.57

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Solution

The fourth proportional to 211,082.85, 291,294.47 and 115,589.57 is: 159,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,082.85 : 291,294.47 = 115,589.57 : x
  2. Step 2: Convert to fraction form
    211,082.85/291,294.47 = 115,589.57/x
  3. Step 3: Cross multiply
    211,082.85x = 291,294.47 × 115,589.57
  4. Step 4: Simplify right side
    211,082.85x = 33,670,601,363.18
  5. Step 5: Solve for x
    x = 33,670,601,363.18/211,082.85
  6. Step 6: Final answer
    x = 159,513.68

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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.