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Finding the Fourth Proportional to 188,606.12, 282,941.93 and 76,281.80

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Solution

The fourth proportional to 188,606.12, 282,941.93 and 76,281.80 is: 114,435.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,606.12 : 282,941.93 = 76,281.80 : x
  2. Step 2: Convert to fraction form
    188,606.12/282,941.93 = 76,281.80/x
  3. Step 3: Cross multiply
    188,606.12x = 282,941.93 × 76,281.80
  4. Step 4: Simplify right side
    188,606.12x = 21,583,318,491.87
  5. Step 5: Solve for x
    x = 21,583,318,491.87/188,606.12
  6. Step 6: Final answer
    x = 114,435.94

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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.