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Finding the Fourth Proportional to 233,838.54, 350,671.20 and 84,038.46

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Solution

The fourth proportional to 233,838.54, 350,671.20 and 84,038.46 is: 126,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838.54 : 350,671.20 = 84,038.46 : x
  2. Step 2: Convert to fraction form
    233,838.54/350,671.20 = 84,038.46/x
  3. Step 3: Cross multiply
    233,838.54x = 350,671.20 × 84,038.46
  4. Step 4: Simplify right side
    233,838.54x = 29,469,867,614.35
  5. Step 5: Solve for x
    x = 29,469,867,614.35/233,838.54
  6. Step 6: Final answer
    x = 126,026.56

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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.