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Finding the Fourth Proportional to 225,852.48, 311,510.88 and 162,255.60

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Solution

The fourth proportional to 225,852.48, 311,510.88 and 162,255.60 is: 223,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,852.48 : 311,510.88 = 162,255.60 : x
  2. Step 2: Convert to fraction form
    225,852.48/311,510.88 = 162,255.60/x
  3. Step 3: Cross multiply
    225,852.48x = 311,510.88 × 162,255.60
  4. Step 4: Simplify right side
    225,852.48x = 50,544,384,740.93
  5. Step 5: Solve for x
    x = 50,544,384,740.93/225,852.48
  6. Step 6: Final answer
    x = 223,793.80

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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.