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Finding the Fourth Proportional to 255,906.67, 383,695.74 and 106,250.26

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Solution

The fourth proportional to 255,906.67, 383,695.74 and 106,250.26 is: 159,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,906.67 : 383,695.74 = 106,250.26 : x
  2. Step 2: Convert to fraction form
    255,906.67/383,695.74 = 106,250.26/x
  3. Step 3: Cross multiply
    255,906.67x = 383,695.74 × 106,250.26
  4. Step 4: Simplify right side
    255,906.67x = 40,767,772,135.89
  5. Step 5: Solve for x
    x = 40,767,772,135.89/255,906.67
  6. Step 6: Final answer
    x = 159,307.19

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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.