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Finding the Fourth Proportional to 160,815.42, 241,052.90 and 54,097.79

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Solution

The fourth proportional to 160,815.42, 241,052.90 and 54,097.79 is: 81,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,815.42 : 241,052.90 = 54,097.79 : x
  2. Step 2: Convert to fraction form
    160,815.42/241,052.90 = 54,097.79/x
  3. Step 3: Cross multiply
    160,815.42x = 241,052.90 × 54,097.79
  4. Step 4: Simplify right side
    160,815.42x = 13,040,427,687.34
  5. Step 5: Solve for x
    x = 13,040,427,687.34/160,815.42
  6. Step 6: Final answer
    x = 81,089.41

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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.