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Finding the Fourth Proportional to 255,511.20, 383,324.40 and 78,026.40

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Solution

The fourth proportional to 255,511.20, 383,324.40 and 78,026.40 is: 117,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,511.20 : 383,324.40 = 78,026.40 : x
  2. Step 2: Convert to fraction form
    255,511.20/383,324.40 = 78,026.40/x
  3. Step 3: Cross multiply
    255,511.20x = 383,324.40 × 78,026.40
  4. Step 4: Simplify right side
    255,511.20x = 29,909,422,964.16
  5. Step 5: Solve for x
    x = 29,909,422,964.16/255,511.20
  6. Step 6: Final answer
    x = 117,057.19

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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.