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Finding the Fourth Proportional to 227,706.80, 314,211.15 and 132,195.65

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Solution

The fourth proportional to 227,706.80, 314,211.15 and 132,195.65 is: 182,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,706.80 : 314,211.15 = 132,195.65 : x
  2. Step 2: Convert to fraction form
    227,706.80/314,211.15 = 132,195.65/x
  3. Step 3: Cross multiply
    227,706.80x = 314,211.15 × 132,195.65
  4. Step 4: Simplify right side
    227,706.80x = 41,537,345,640.44
  5. Step 5: Solve for x
    x = 41,537,345,640.44/227,706.80
  6. Step 6: Final answer
    x = 182,415.93

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1.5x scale

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.