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Finding the Fourth Proportional to 160,642.82, 221,688.33 and 89,024

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Solution

The fourth proportional to 160,642.82, 221,688.33 and 89,024 is: 122,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,642.82 : 221,688.33 = 89,024 : x
  2. Step 2: Convert to fraction form
    160,642.82/221,688.33 = 89,024/x
  3. Step 3: Cross multiply
    160,642.82x = 221,688.33 × 89,024
  4. Step 4: Simplify right side
    160,642.82x = 19,735,581,889.92
  5. Step 5: Solve for x
    x = 19,735,581,889.92/160,642.82
  6. Step 6: Final answer
    x = 122,853.81

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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.