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Finding the Fourth Proportional to 255,778.25, 383,512.83 and 101,927.90

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Solution

The fourth proportional to 255,778.25, 383,512.83 and 101,927.90 is: 152,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,778.25 : 383,512.83 = 101,927.90 : x
  2. Step 2: Convert to fraction form
    255,778.25/383,512.83 = 101,927.90/x
  3. Step 3: Cross multiply
    255,778.25x = 383,512.83 × 101,927.90
  4. Step 4: Simplify right side
    255,778.25x = 39,090,657,384.96
  5. Step 5: Solve for x
    x = 39,090,657,384.96/255,778.25
  6. Step 6: Final answer
    x = 152,830.27

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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.