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Finding the Fourth Proportional to 160,161.85, 239,978.89 and 54,923.05

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Solution

The fourth proportional to 160,161.85, 239,978.89 and 54,923.05 is: 82,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,161.85 : 239,978.89 = 54,923.05 : x
  2. Step 2: Convert to fraction form
    160,161.85/239,978.89 = 54,923.05/x
  3. Step 3: Cross multiply
    160,161.85x = 239,978.89 × 54,923.05
  4. Step 4: Simplify right side
    160,161.85x = 13,180,372,574.41
  5. Step 5: Solve for x
    x = 13,180,372,574.41/160,161.85
  6. Step 6: Final answer
    x = 82,294.08

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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.