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Finding the Fourth Proportional to 160,771.95, 241,192.49 and 54,166.50

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Solution

The fourth proportional to 160,771.95, 241,192.49 and 54,166.50 is: 81,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,771.95 : 241,192.49 = 54,166.50 : x
  2. Step 2: Convert to fraction form
    160,771.95/241,192.49 = 54,166.50/x
  3. Step 3: Cross multiply
    160,771.95x = 241,192.49 × 54,166.50
  4. Step 4: Simplify right side
    160,771.95x = 13,064,552,738.75
  5. Step 5: Solve for x
    x = 13,064,552,738.75/160,771.95
  6. Step 6: Final answer
    x = 81,261.39

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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.