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Finding the Fourth Proportional to 208,058.73, 312,088.11 and 50,287.14

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Solution

The fourth proportional to 208,058.73, 312,088.11 and 50,287.14 is: 75,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.73 : 312,088.11 = 50,287.14 : x
  2. Step 2: Convert to fraction form
    208,058.73/312,088.11 = 50,287.14/x
  3. Step 3: Cross multiply
    208,058.73x = 312,088.11 × 50,287.14
  4. Step 4: Simplify right side
    208,058.73x = 15,694,018,479.91
  5. Step 5: Solve for x
    x = 15,694,018,479.91/208,058.73
  6. Step 6: Final answer
    x = 75,430.71

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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.