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Finding the Fourth Proportional to 233,048.44, 321,659.94 and 164,994.67

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Solution

The fourth proportional to 233,048.44, 321,659.94 and 164,994.67 is: 227,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,048.44 : 321,659.94 = 164,994.67 : x
  2. Step 2: Convert to fraction form
    233,048.44/321,659.94 = 164,994.67/x
  3. Step 3: Cross multiply
    233,048.44x = 321,659.94 × 164,994.67
  4. Step 4: Simplify right side
    233,048.44x = 53,072,175,652.52
  5. Step 5: Solve for x
    x = 53,072,175,652.52/233,048.44
  6. Step 6: Final answer
    x = 227,730.23

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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.