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Finding the Fourth Proportional to 206,893.16, 310,475.82 and 113,464.52

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Solution

The fourth proportional to 206,893.16, 310,475.82 and 113,464.52 is: 170,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.16 : 310,475.82 = 113,464.52 : x
  2. Step 2: Convert to fraction form
    206,893.16/310,475.82 = 113,464.52/x
  3. Step 3: Cross multiply
    206,893.16x = 310,475.82 × 113,464.52
  4. Step 4: Simplify right side
    206,893.16x = 35,227,989,887.91
  5. Step 5: Solve for x
    x = 35,227,989,887.91/206,893.16
  6. Step 6: Final answer
    x = 170,271.41

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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.