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Finding the Fourth Proportional to 206,876.16, 310,450.32 and 113,447.52

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Solution

The fourth proportional to 206,876.16, 310,450.32 and 113,447.52 is: 170,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.16 : 310,450.32 = 113,447.52 : x
  2. Step 2: Convert to fraction form
    206,876.16/310,450.32 = 113,447.52/x
  3. Step 3: Cross multiply
    206,876.16x = 310,450.32 × 113,447.52
  4. Step 4: Simplify right side
    206,876.16x = 35,219,818,887.21
  5. Step 5: Solve for x
    x = 35,219,818,887.21/206,876.16
  6. Step 6: Final answer
    x = 170,245.90

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1.5x scale

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.