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Finding the Fourth Proportional to 160,774.96, 241,197 and 54,169.50

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Solution

The fourth proportional to 160,774.96, 241,197 and 54,169.50 is: 81,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,774.96 : 241,197 = 54,169.50 : x
  2. Step 2: Convert to fraction form
    160,774.96/241,197 = 54,169.50/x
  3. Step 3: Cross multiply
    160,774.96x = 241,197 × 54,169.50
  4. Step 4: Simplify right side
    160,774.96x = 13,065,520,891.50
  5. Step 5: Solve for x
    x = 13,065,520,891.50/160,774.96
  6. Step 6: Final answer
    x = 81,265.89

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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.