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Finding the Fourth Proportional to 208,930.46, 313,278 and 66,742.34

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Solution

The fourth proportional to 208,930.46, 313,278 and 66,742.34 is: 100,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,930.46 : 313,278 = 66,742.34 : x
  2. Step 2: Convert to fraction form
    208,930.46/313,278 = 66,742.34/x
  3. Step 3: Cross multiply
    208,930.46x = 313,278 × 66,742.34
  4. Step 4: Simplify right side
    208,930.46x = 20,908,906,790.52
  5. Step 5: Solve for x
    x = 20,908,906,790.52/208,930.46
  6. Step 6: Final answer
    x = 100,075.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.