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Finding the Fourth Proportional to 212,082.30, 292,661.37 and 116,588.97

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Solution

The fourth proportional to 212,082.30, 292,661.37 and 116,588.97 is: 160,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082.30 : 292,661.37 = 116,588.97 : x
  2. Step 2: Convert to fraction form
    212,082.30/292,661.37 = 116,588.97/x
  3. Step 3: Cross multiply
    212,082.30x = 292,661.37 × 116,588.97
  4. Step 4: Simplify right side
    212,082.30x = 34,121,087,687.09
  5. Step 5: Solve for x
    x = 34,121,087,687.09/212,082.30
  6. Step 6: Final answer
    x = 160,886.07

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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.