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Finding the Fourth Proportional to 255,970.08, 383,929.20 and 69,000.48

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Solution

The fourth proportional to 255,970.08, 383,929.20 and 69,000.48 is: 103,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.08 : 383,929.20 = 69,000.48 : x
  2. Step 2: Convert to fraction form
    255,970.08/383,929.20 = 69,000.48/x
  3. Step 3: Cross multiply
    255,970.08x = 383,929.20 × 69,000.48
  4. Step 4: Simplify right side
    255,970.08x = 26,491,299,086.02
  5. Step 5: Solve for x
    x = 26,491,299,086.02/255,970.08
  6. Step 6: Final answer
    x = 103,493.73

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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.