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Finding the Fourth Proportional to 255,904.20, 383,852.70 and 115,662.60

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Solution

The fourth proportional to 255,904.20, 383,852.70 and 115,662.60 is: 173,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,904.20 : 383,852.70 = 115,662.60 : x
  2. Step 2: Convert to fraction form
    255,904.20/383,852.70 = 115,662.60/x
  3. Step 3: Cross multiply
    255,904.20x = 383,852.70 × 115,662.60
  4. Step 4: Simplify right side
    255,904.20x = 44,397,401,299.02
  5. Step 5: Solve for x
    x = 44,397,401,299.02/255,904.20
  6. Step 6: Final answer
    x = 173,492.27

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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.