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Finding the Fourth Proportional to 192,702.35, 265,922.46 and 106,661.50

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Solution

The fourth proportional to 192,702.35, 265,922.46 and 106,661.50 is: 147,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,702.35 : 265,922.46 = 106,661.50 : x
  2. Step 2: Convert to fraction form
    192,702.35/265,922.46 = 106,661.50/x
  3. Step 3: Cross multiply
    192,702.35x = 265,922.46 × 106,661.50
  4. Step 4: Simplify right side
    192,702.35x = 28,363,688,100.41
  5. Step 5: Solve for x
    x = 28,363,688,100.41/192,702.35
  6. Step 6: Final answer
    x = 147,189.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.