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Finding the Fourth Proportional to 113,165.64, 169,773.06 and 34,286.01

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Solution

The fourth proportional to 113,165.64, 169,773.06 and 34,286.01 is: 51,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,165.64 : 169,773.06 = 34,286.01 : x
  2. Step 2: Convert to fraction form
    113,165.64/169,773.06 = 34,286.01/x
  3. Step 3: Cross multiply
    113,165.64x = 169,773.06 × 34,286.01
  4. Step 4: Simplify right side
    113,165.64x = 5,820,840,832.89
  5. Step 5: Solve for x
    x = 5,820,840,832.89/113,165.64
  6. Step 6: Final answer
    x = 51,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.