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Finding the Fourth Proportional to 186,804.75, 280,186.37 and 66,856.86

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Solution

The fourth proportional to 186,804.75, 280,186.37 and 66,856.86 is: 100,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,804.75 : 280,186.37 = 66,856.86 : x
  2. Step 2: Convert to fraction form
    186,804.75/280,186.37 = 66,856.86/x
  3. Step 3: Cross multiply
    186,804.75x = 280,186.37 × 66,856.86
  4. Step 4: Simplify right side
    186,804.75x = 18,732,380,578.71
  5. Step 5: Solve for x
    x = 18,732,380,578.71/186,804.75
  6. Step 6: Final answer
    x = 100,277.86

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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.