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Finding the Fourth Proportional to 188,038.40, 281,971.20 and 82,803.20

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Solution

The fourth proportional to 188,038.40, 281,971.20 and 82,803.20 is: 124,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,038.40 : 281,971.20 = 82,803.20 : x
  2. Step 2: Convert to fraction form
    188,038.40/281,971.20 = 82,803.20/x
  3. Step 3: Cross multiply
    188,038.40x = 281,971.20 × 82,803.20
  4. Step 4: Simplify right side
    188,038.40x = 23,348,117,667.84
  5. Step 5: Solve for x
    x = 23,348,117,667.84/188,038.40
  6. Step 6: Final answer
    x = 124,166.75

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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.