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Finding the Fourth Proportional to 300,096.48, 414,140.40 and 164,143.20

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Solution

The fourth proportional to 300,096.48, 414,140.40 and 164,143.20 is: 226,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,096.48 : 414,140.40 = 164,143.20 : x
  2. Step 2: Convert to fraction form
    300,096.48/414,140.40 = 164,143.20/x
  3. Step 3: Cross multiply
    300,096.48x = 414,140.40 × 164,143.20
  4. Step 4: Simplify right side
    300,096.48x = 67,978,330,505.28
  5. Step 5: Solve for x
    x = 67,978,330,505.28/300,096.48
  6. Step 6: Final answer
    x = 226,521.59

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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.