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Finding the Fourth Proportional to 255,863.08, 383,796.60 and 98,053.84

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Solution

The fourth proportional to 255,863.08, 383,796.60 and 98,053.84 is: 147,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,863.08 : 383,796.60 = 98,053.84 : x
  2. Step 2: Convert to fraction form
    255,863.08/383,796.60 = 98,053.84/x
  3. Step 3: Cross multiply
    255,863.08x = 383,796.60 × 98,053.84
  4. Step 4: Simplify right side
    255,863.08x = 37,632,730,408.94
  5. Step 5: Solve for x
    x = 37,632,730,408.94/255,863.08
  6. Step 6: Final answer
    x = 147,081.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.