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Finding the Fourth Proportional to 255,998.99, 383,984.11 and 78,505.52

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Solution

The fourth proportional to 255,998.99, 383,984.11 and 78,505.52 is: 117,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,998.99 : 383,984.11 = 78,505.52 : x
  2. Step 2: Convert to fraction form
    255,998.99/383,984.11 = 78,505.52/x
  3. Step 3: Cross multiply
    255,998.99x = 383,984.11 × 78,505.52
  4. Step 4: Simplify right side
    255,998.99x = 30,144,870,405.50
  5. Step 5: Solve for x
    x = 30,144,870,405.50/255,998.99
  6. Step 6: Final answer
    x = 117,753.86

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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.