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Finding the Fourth Proportional to 188,989.89, 283,477.74 and 46,835.58

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Solution

The fourth proportional to 188,989.89, 283,477.74 and 46,835.58 is: 70,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,989.89 : 283,477.74 = 46,835.58 : x
  2. Step 2: Convert to fraction form
    188,989.89/283,477.74 = 46,835.58/x
  3. Step 3: Cross multiply
    188,989.89x = 283,477.74 × 46,835.58
  4. Step 4: Simplify right side
    188,989.89x = 13,276,844,369.99
  5. Step 5: Solve for x
    x = 13,276,844,369.99/188,989.89
  6. Step 6: Final answer
    x = 70,251.61

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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.