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Finding the Fourth Proportional to 225,994.22, 311,869.20 and 130,498.82

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Solution

The fourth proportional to 225,994.22, 311,869.20 and 130,498.82 is: 180,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,994.22 : 311,869.20 = 130,498.82 : x
  2. Step 2: Convert to fraction form
    225,994.22/311,869.20 = 130,498.82/x
  3. Step 3: Cross multiply
    225,994.22x = 311,869.20 × 130,498.82
  4. Step 4: Simplify right side
    225,994.22x = 40,698,562,594.34
  5. Step 5: Solve for x
    x = 40,698,562,594.34/225,994.22
  6. Step 6: Final answer
    x = 180,086.74

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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.