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Finding the Fourth Proportional to 208,027.20, 312,040.80 and 181,783.20

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Solution

The fourth proportional to 208,027.20, 312,040.80 and 181,783.20 is: 272,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,027.20 : 312,040.80 = 181,783.20 : x
  2. Step 2: Convert to fraction form
    208,027.20/312,040.80 = 181,783.20/x
  3. Step 3: Cross multiply
    208,027.20x = 312,040.80 × 181,783.20
  4. Step 4: Simplify right side
    208,027.20x = 56,723,775,154.56
  5. Step 5: Solve for x
    x = 56,723,775,154.56/208,027.20
  6. Step 6: Final answer
    x = 272,674.80

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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.