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Finding the Fourth Proportional to 208,836.16, 313,252.80 and 51,066.88

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Solution

The fourth proportional to 208,836.16, 313,252.80 and 51,066.88 is: 76,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,836.16 : 313,252.80 = 51,066.88 : x
  2. Step 2: Convert to fraction form
    208,836.16/313,252.80 = 51,066.88/x
  3. Step 3: Cross multiply
    208,836.16x = 313,252.80 × 51,066.88
  4. Step 4: Simplify right side
    208,836.16x = 15,996,843,147.26
  5. Step 5: Solve for x
    x = 15,996,843,147.26/208,836.16
  6. Step 6: Final answer
    x = 76,599.97

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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.