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Finding the Fourth Proportional to 366,681, 550,021.94 and 100,443.81

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Solution

The fourth proportional to 366,681, 550,021.94 and 100,443.81 is: 150,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,681 : 550,021.94 = 100,443.81 : x
  2. Step 2: Convert to fraction form
    366,681/550,021.94 = 100,443.81/x
  3. Step 3: Cross multiply
    366,681x = 550,021.94 × 100,443.81
  4. Step 4: Simplify right side
    366,681x = 55,246,299,237.19
  5. Step 5: Solve for x
    x = 55,246,299,237.19/366,681
  6. Step 6: Final answer
    x = 150,665.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.