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Finding the Fourth Proportional to 255,856.82, 383,786.10 and 78,363.02

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Solution

The fourth proportional to 255,856.82, 383,786.10 and 78,363.02 is: 117,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,856.82 : 383,786.10 = 78,363.02 : x
  2. Step 2: Convert to fraction form
    255,856.82/383,786.10 = 78,363.02/x
  3. Step 3: Cross multiply
    255,856.82x = 383,786.10 × 78,363.02
  4. Step 4: Simplify right side
    255,856.82x = 30,074,637,830.02
  5. Step 5: Solve for x
    x = 30,074,637,830.02/255,856.82
  6. Step 6: Final answer
    x = 117,544.80

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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.