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Finding the Fourth Proportional to 208,257.35, 312,398.14 and 58,509.32

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Solution

The fourth proportional to 208,257.35, 312,398.14 and 58,509.32 is: 87,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,257.35 : 312,398.14 = 58,509.32 : x
  2. Step 2: Convert to fraction form
    208,257.35/312,398.14 = 58,509.32/x
  3. Step 3: Cross multiply
    208,257.35x = 312,398.14 × 58,509.32
  4. Step 4: Simplify right side
    208,257.35x = 18,278,202,740.66
  5. Step 5: Solve for x
    x = 18,278,202,740.66/208,257.35
  6. Step 6: Final answer
    x = 87,767.38

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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.