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Finding the Fourth Proportional to 160,639.95, 221,684.42 and 89,021.16

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Solution

The fourth proportional to 160,639.95, 221,684.42 and 89,021.16 is: 122,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,639.95 : 221,684.42 = 89,021.16 : x
  2. Step 2: Convert to fraction form
    160,639.95/221,684.42 = 89,021.16/x
  3. Step 3: Cross multiply
    160,639.95x = 221,684.42 × 89,021.16
  4. Step 4: Simplify right side
    160,639.95x = 19,734,603,777.22
  5. Step 5: Solve for x
    x = 19,734,603,777.22/160,639.95
  6. Step 6: Final answer
    x = 122,849.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.