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Finding the Fourth Proportional to 212,164.47, 292,784.49 and 116,665.47

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Solution

The fourth proportional to 212,164.47, 292,784.49 and 116,665.47 is: 160,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,164.47 : 292,784.49 = 116,665.47 : x
  2. Step 2: Convert to fraction form
    212,164.47/292,784.49 = 116,665.47/x
  3. Step 3: Cross multiply
    212,164.47x = 292,784.49 × 116,665.47
  4. Step 4: Simplify right side
    212,164.47x = 34,157,840,134.56
  5. Step 5: Solve for x
    x = 34,157,840,134.56/212,164.47
  6. Step 6: Final answer
    x = 160,996.99

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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.