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Finding the Fourth Proportional to 233,192.96, 349,863.26 and 83,429.92

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Solution

The fourth proportional to 233,192.96, 349,863.26 and 83,429.92 is: 125,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,192.96 : 349,863.26 = 83,429.92 : x
  2. Step 2: Convert to fraction form
    233,192.96/349,863.26 = 83,429.92/x
  3. Step 3: Cross multiply
    233,192.96x = 349,863.26 × 83,429.92
  4. Step 4: Simplify right side
    233,192.96x = 29,189,063,792.74
  5. Step 5: Solve for x
    x = 29,189,063,792.74/233,192.96
  6. Step 6: Final answer
    x = 125,171.29

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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.