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Finding the Fourth Proportional to 188,082, 282,100.32 and 47,841.84

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Solution

The fourth proportional to 188,082, 282,100.32 and 47,841.84 is: 71,756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,082 : 282,100.32 = 47,841.84 : x
  2. Step 2: Convert to fraction form
    188,082/282,100.32 = 47,841.84/x
  3. Step 3: Cross multiply
    188,082x = 282,100.32 × 47,841.84
  4. Step 4: Simplify right side
    188,082x = 13,496,198,373.39
  5. Step 5: Solve for x
    x = 13,496,198,373.39/188,082
  6. Step 6: Final answer
    x = 71,756.99

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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.