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Finding the Fourth Proportional to 299,122.86, 412,782.99 and 164,986.86

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Solution

The fourth proportional to 299,122.86, 412,782.99 and 164,986.86 is: 227,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122.86 : 412,782.99 = 164,986.86 : x
  2. Step 2: Convert to fraction form
    299,122.86/412,782.99 = 164,986.86/x
  3. Step 3: Cross multiply
    299,122.86x = 412,782.99 × 164,986.86
  4. Step 4: Simplify right side
    299,122.86x = 68,103,769,381.51
  5. Step 5: Solve for x
    x = 68,103,769,381.51/299,122.86
  6. Step 6: Final answer
    x = 227,678.25

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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.