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Finding the Fourth Proportional to 233,006.94, 349,514.25 and 66,794.94

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Solution

The fourth proportional to 233,006.94, 349,514.25 and 66,794.94 is: 100,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,006.94 : 349,514.25 = 66,794.94 : x
  2. Step 2: Convert to fraction form
    233,006.94/349,514.25 = 66,794.94/x
  3. Step 3: Cross multiply
    233,006.94x = 349,514.25 × 66,794.94
  4. Step 4: Simplify right side
    233,006.94x = 23,345,783,357.90
  5. Step 5: Solve for x
    x = 23,345,783,357.90/233,006.94
  6. Step 6: Final answer
    x = 100,193.51

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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.