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Finding the Fourth Proportional to 233,833.54, 350,663.70 and 84,033.46

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Solution

The fourth proportional to 233,833.54, 350,663.70 and 84,033.46 is: 126,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,833.54 : 350,663.70 = 84,033.46 : x
  2. Step 2: Convert to fraction form
    233,833.54/350,663.70 = 84,033.46/x
  3. Step 3: Cross multiply
    233,833.54x = 350,663.70 × 84,033.46
  4. Step 4: Simplify right side
    233,833.54x = 29,467,484,007.40
  5. Step 5: Solve for x
    x = 29,467,484,007.40/233,833.54
  6. Step 6: Final answer
    x = 126,019.06

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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.