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Finding the Fourth Proportional to 212,093.80, 292,685.38 and 116,599.56

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Solution

The fourth proportional to 212,093.80, 292,685.38 and 116,599.56 is: 160,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,093.80 : 292,685.38 = 116,599.56 : x
  2. Step 2: Convert to fraction form
    212,093.80/292,685.38 = 116,599.56/x
  3. Step 3: Cross multiply
    212,093.80x = 292,685.38 × 116,599.56
  4. Step 4: Simplify right side
    212,093.80x = 34,126,986,526.43
  5. Step 5: Solve for x
    x = 34,126,986,526.43/212,093.80
  6. Step 6: Final answer
    x = 160,905.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.