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Finding the Fourth Proportional to 229,875.48, 344,738.79 and 83,794.41

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Solution

The fourth proportional to 229,875.48, 344,738.79 and 83,794.41 is: 125,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,875.48 : 344,738.79 = 83,794.41 : x
  2. Step 2: Convert to fraction form
    229,875.48/344,738.79 = 83,794.41/x
  3. Step 3: Cross multiply
    229,875.48x = 344,738.79 × 83,794.41
  4. Step 4: Simplify right side
    229,875.48x = 28,887,183,512.16
  5. Step 5: Solve for x
    x = 28,887,183,512.16/229,875.48
  6. Step 6: Final answer
    x = 125,664.48

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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.