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Finding the Fourth Proportional to 300,223.86, 414,165.78 and 185,461.20

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Solution

The fourth proportional to 300,223.86, 414,165.78 and 185,461.20 is: 255,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,223.86 : 414,165.78 = 185,461.20 : x
  2. Step 2: Convert to fraction form
    300,223.86/414,165.78 = 185,461.20/x
  3. Step 3: Cross multiply
    300,223.86x = 414,165.78 × 185,461.20
  4. Step 4: Simplify right side
    300,223.86x = 76,811,682,557.74
  5. Step 5: Solve for x
    x = 76,811,682,557.74/300,223.86
  6. Step 6: Final answer
    x = 255,848.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.