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Finding the Fourth Proportional to 212,092.80, 292,684 and 116,598.56

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Solution

The fourth proportional to 212,092.80, 292,684 and 116,598.56 is: 160,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,092.80 : 292,684 = 116,598.56 : x
  2. Step 2: Convert to fraction form
    212,092.80/292,684 = 116,598.56/x
  3. Step 3: Cross multiply
    212,092.80x = 292,684 × 116,598.56
  4. Step 4: Simplify right side
    212,092.80x = 34,126,532,935.04
  5. Step 5: Solve for x
    x = 34,126,532,935.04/212,092.80
  6. Step 6: Final answer
    x = 160,903.78

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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.