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Finding the Fourth Proportional to 255,841.54, 383,684.45 and 106,046.62

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Solution

The fourth proportional to 255,841.54, 383,684.45 and 106,046.62 is: 159,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,841.54 : 383,684.45 = 106,046.62 : x
  2. Step 2: Convert to fraction form
    255,841.54/383,684.45 = 106,046.62/x
  3. Step 3: Cross multiply
    255,841.54x = 383,684.45 × 106,046.62
  4. Step 4: Simplify right side
    255,841.54x = 40,688,437,579.61
  5. Step 5: Solve for x
    x = 40,688,437,579.61/255,841.54
  6. Step 6: Final answer
    x = 159,037.65

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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.