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Finding the Fourth Proportional to 212,161.68, 292,784.16 and 116,674.56

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Solution

The fourth proportional to 212,161.68, 292,784.16 and 116,674.56 is: 161,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,161.68 : 292,784.16 = 116,674.56 : x
  2. Step 2: Convert to fraction form
    212,161.68/292,784.16 = 116,674.56/x
  3. Step 3: Cross multiply
    212,161.68x = 292,784.16 × 116,674.56
  4. Step 4: Simplify right side
    212,161.68x = 34,160,463,042.97
  5. Step 5: Solve for x
    x = 34,160,463,042.97/212,161.68
  6. Step 6: Final answer
    x = 161,011.47

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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.