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Finding the Fourth Proportional to 188,045.70, 282,133.35 and 82,940.10

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Solution

The fourth proportional to 188,045.70, 282,133.35 and 82,940.10 is: 124,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,045.70 : 282,133.35 = 82,940.10 : x
  2. Step 2: Convert to fraction form
    188,045.70/282,133.35 = 82,940.10/x
  3. Step 3: Cross multiply
    188,045.70x = 282,133.35 × 82,940.10
  4. Step 4: Simplify right side
    188,045.70x = 23,400,168,262.34
  5. Step 5: Solve for x
    x = 23,400,168,262.34/188,045.70
  6. Step 6: Final answer
    x = 124,438.73

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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.