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Finding the Fourth Proportional to 212,182.94, 292,806.62 and 116,689.64

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Solution

The fourth proportional to 212,182.94, 292,806.62 and 116,689.64 is: 161,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,182.94 : 292,806.62 = 116,689.64 : x
  2. Step 2: Convert to fraction form
    212,182.94/292,806.62 = 116,689.64/x
  3. Step 3: Cross multiply
    212,182.94x = 292,806.62 × 116,689.64
  4. Step 4: Simplify right side
    212,182.94x = 34,167,499,077.42
  5. Step 5: Solve for x
    x = 34,167,499,077.42/212,182.94
  6. Step 6: Final answer
    x = 161,028.49

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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.