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Finding the Fourth Proportional to 207,516.30, 311,554.30 and 132,782.32

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Solution

The fourth proportional to 207,516.30, 311,554.30 and 132,782.32 is: 199,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,516.30 : 311,554.30 = 132,782.32 : x
  2. Step 2: Convert to fraction form
    207,516.30/311,554.30 = 132,782.32/x
  3. Step 3: Cross multiply
    207,516.30x = 311,554.30 × 132,782.32
  4. Step 4: Simplify right side
    207,516.30x = 41,368,902,759.98
  5. Step 5: Solve for x
    x = 41,368,902,759.98/207,516.30
  6. Step 6: Final answer
    x = 199,352.55

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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.