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Finding the Fourth Proportional to 146,696.92, 202,440.54 and 83,034.16

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Solution

The fourth proportional to 146,696.92, 202,440.54 and 83,034.16 is: 114,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,696.92 : 202,440.54 = 83,034.16 : x
  2. Step 2: Convert to fraction form
    146,696.92/202,440.54 = 83,034.16/x
  3. Step 3: Cross multiply
    146,696.92x = 202,440.54 × 83,034.16
  4. Step 4: Simplify right side
    146,696.92x = 16,809,480,188.85
  5. Step 5: Solve for x
    x = 16,809,480,188.85/146,696.92
  6. Step 6: Final answer
    x = 114,586.46

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1.5x scale

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.