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Finding the Fourth Proportional to 255,906.84, 383,909.46 and 98,122.98

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Solution

The fourth proportional to 255,906.84, 383,909.46 and 98,122.98 is: 147,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.84 : 383,909.46 = 98,122.98 : x
  2. Step 2: Convert to fraction form
    255,906.84/383,909.46 = 98,122.98/x
  3. Step 3: Cross multiply
    255,906.84x = 383,909.46 × 98,122.98
  4. Step 4: Simplify right side
    255,906.84x = 37,670,340,265.39
  5. Step 5: Solve for x
    x = 37,670,340,265.39/255,906.84
  6. Step 6: Final answer
    x = 147,203.33

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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.