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Finding the Fourth Proportional to 300,001.81, 414,002.87 and 164,036.37

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Solution

The fourth proportional to 300,001.81, 414,002.87 and 164,036.37 is: 226,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,001.81 : 414,002.87 = 164,036.37 : x
  2. Step 2: Convert to fraction form
    300,001.81/414,002.87 = 164,036.37/x
  3. Step 3: Cross multiply
    300,001.81x = 414,002.87 × 164,036.37
  4. Step 4: Simplify right side
    300,001.81x = 67,911,527,964.38
  5. Step 5: Solve for x
    x = 67,911,527,964.38/300,001.81
  6. Step 6: Final answer
    x = 226,370.39

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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.