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Finding the Fourth Proportional to 233,147.36, 349,683.77 and 83,359.73

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Solution

The fourth proportional to 233,147.36, 349,683.77 and 83,359.73 is: 125,026.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,147.36 : 349,683.77 = 83,359.73 : x
  2. Step 2: Convert to fraction form
    233,147.36/349,683.77 = 83,359.73/x
  3. Step 3: Cross multiply
    233,147.36x = 349,683.77 × 83,359.73
  4. Step 4: Simplify right side
    233,147.36x = 29,149,542,487.36
  5. Step 5: Solve for x
    x = 29,149,542,487.36/233,147.36
  6. Step 6: Final answer
    x = 125,026.26

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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.