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Finding the Fourth Proportional to 100,093.93, 150,123.60 and 46,790.74

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Solution

The fourth proportional to 100,093.93, 150,123.60 and 46,790.74 is: 70,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,093.93 : 150,123.60 = 46,790.74 : x
  2. Step 2: Convert to fraction form
    100,093.93/150,123.60 = 46,790.74/x
  3. Step 3: Cross multiply
    100,093.93x = 150,123.60 × 46,790.74
  4. Step 4: Simplify right side
    100,093.93x = 7,024,394,335.46
  5. Step 5: Solve for x
    x = 7,024,394,335.46/100,093.93
  6. Step 6: Final answer
    x = 70,178.03

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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.