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Finding the Fourth Proportional to 255,823.40, 383,516.28 and 98,165

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Solution

The fourth proportional to 255,823.40, 383,516.28 and 98,165 is: 147,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,823.40 : 383,516.28 = 98,165 : x
  2. Step 2: Convert to fraction form
    255,823.40/383,516.28 = 98,165/x
  3. Step 3: Cross multiply
    255,823.40x = 383,516.28 × 98,165
  4. Step 4: Simplify right side
    255,823.40x = 37,647,875,626.20
  5. Step 5: Solve for x
    x = 37,647,875,626.20/255,823.40
  6. Step 6: Final answer
    x = 147,163.53

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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.