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Finding the Fourth Proportional to 212,189.43, 292,815.57 and 116,696.16

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Solution

The fourth proportional to 212,189.43, 292,815.57 and 116,696.16 is: 161,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,189.43 : 292,815.57 = 116,696.16 : x
  2. Step 2: Convert to fraction form
    212,189.43/292,815.57 = 116,696.16/x
  3. Step 3: Cross multiply
    212,189.43x = 292,815.57 × 116,696.16
  4. Step 4: Simplify right side
    212,189.43x = 34,170,452,607.21
  5. Step 5: Solve for x
    x = 34,170,452,607.21/212,189.43
  6. Step 6: Final answer
    x = 161,037.49

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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.