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Finding the Fourth Proportional to 208,626.84, 313,068.74 and 82,245.57

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Solution

The fourth proportional to 208,626.84, 313,068.74 and 82,245.57 is: 123,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,626.84 : 313,068.74 = 82,245.57 : x
  2. Step 2: Convert to fraction form
    208,626.84/313,068.74 = 82,245.57/x
  3. Step 3: Cross multiply
    208,626.84x = 313,068.74 × 82,245.57
  4. Step 4: Simplify right side
    208,626.84x = 25,748,516,970.48
  5. Step 5: Solve for x
    x = 25,748,516,970.48/208,626.84
  6. Step 6: Final answer
    x = 123,419.00

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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.