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Finding the Fourth Proportional to 255,673.35, 383,509.94 and 78,180.35

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Solution

The fourth proportional to 255,673.35, 383,509.94 and 78,180.35 is: 117,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,673.35 : 383,509.94 = 78,180.35 : x
  2. Step 2: Convert to fraction form
    255,673.35/383,509.94 = 78,180.35/x
  3. Step 3: Cross multiply
    255,673.35x = 383,509.94 × 78,180.35
  4. Step 4: Simplify right side
    255,673.35x = 29,982,939,029.23
  5. Step 5: Solve for x
    x = 29,982,939,029.23/255,673.35
  6. Step 6: Final answer
    x = 117,270.49

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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.