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Finding the Fourth Proportional to 255,913.54, 383,950.27 and 75,999.98

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Solution

The fourth proportional to 255,913.54, 383,950.27 and 75,999.98 is: 114,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,913.54 : 383,950.27 = 75,999.98 : x
  2. Step 2: Convert to fraction form
    255,913.54/383,950.27 = 75,999.98/x
  3. Step 3: Cross multiply
    255,913.54x = 383,950.27 × 75,999.98
  4. Step 4: Simplify right side
    255,913.54x = 29,180,213,895.87
  5. Step 5: Solve for x
    x = 29,180,213,895.87/255,913.54
  6. Step 6: Final answer
    x = 114,023.72

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1.5x scale

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.