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Finding the Fourth Proportional to 160,709.67, 241,067.88 and 54,096.84

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Solution

The fourth proportional to 160,709.67, 241,067.88 and 54,096.84 is: 81,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,709.67 : 241,067.88 = 54,096.84 : x
  2. Step 2: Convert to fraction form
    160,709.67/241,067.88 = 54,096.84/x
  3. Step 3: Cross multiply
    160,709.67x = 241,067.88 × 54,096.84
  4. Step 4: Simplify right side
    160,709.67x = 13,041,010,533.50
  5. Step 5: Solve for x
    x = 13,041,010,533.50/160,709.67
  6. Step 6: Final answer
    x = 81,146.40

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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.