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Finding the Fourth Proportional to 255,442, 383,339.04 and 89,230

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Solution

The fourth proportional to 255,442, 383,339.04 and 89,230 is: 133,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,442 : 383,339.04 = 89,230 : x
  2. Step 2: Convert to fraction form
    255,442/383,339.04 = 89,230/x
  3. Step 3: Cross multiply
    255,442x = 383,339.04 × 89,230
  4. Step 4: Simplify right side
    255,442x = 34,205,342,539.20
  5. Step 5: Solve for x
    x = 34,205,342,539.20/255,442
  6. Step 6: Final answer
    x = 133,906.49

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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.