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Finding the Fourth Proportional to 160,797.60, 221,886 and 89,177.40

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Solution

The fourth proportional to 160,797.60, 221,886 and 89,177.40 is: 123,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,797.60 : 221,886 = 89,177.40 : x
  2. Step 2: Convert to fraction form
    160,797.60/221,886 = 89,177.40/x
  3. Step 3: Cross multiply
    160,797.60x = 221,886 × 89,177.40
  4. Step 4: Simplify right side
    160,797.60x = 19,787,216,576.40
  5. Step 5: Solve for x
    x = 19,787,216,576.40/160,797.60
  6. Step 6: Final answer
    x = 123,056.67

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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.