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Finding the Fourth Proportional to 118,971.73, 178,484 and 35,859.73

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Solution

The fourth proportional to 118,971.73, 178,484 and 35,859.73 is: 53,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.73 : 178,484 = 35,859.73 : x
  2. Step 2: Convert to fraction form
    118,971.73/178,484 = 35,859.73/x
  3. Step 3: Cross multiply
    118,971.73x = 178,484 × 35,859.73
  4. Step 4: Simplify right side
    118,971.73x = 6,400,388,049.32
  5. Step 5: Solve for x
    x = 6,400,388,049.32/118,971.73
  6. Step 6: Final answer
    x = 53,797.55

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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.