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Finding the Fourth Proportional to 160,775.45, 241,197.74 and 54,170

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Solution

The fourth proportional to 160,775.45, 241,197.74 and 54,170 is: 81,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,775.45 : 241,197.74 = 54,170 : x
  2. Step 2: Convert to fraction form
    160,775.45/241,197.74 = 54,170/x
  3. Step 3: Cross multiply
    160,775.45x = 241,197.74 × 54,170
  4. Step 4: Simplify right side
    160,775.45x = 13,065,681,304.95
  5. Step 5: Solve for x
    x = 13,065,681,304.95/160,775.45
  6. Step 6: Final answer
    x = 81,266.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.