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Finding the Fourth Proportional to 208,256.35, 312,396.64 and 58,508.32

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Solution

The fourth proportional to 208,256.35, 312,396.64 and 58,508.32 is: 87,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,256.35 : 312,396.64 = 58,508.32 : x
  2. Step 2: Convert to fraction form
    208,256.35/312,396.64 = 58,508.32/x
  3. Step 3: Cross multiply
    208,256.35x = 312,396.64 × 58,508.32
  4. Step 4: Simplify right side
    208,256.35x = 18,277,802,801.06
  5. Step 5: Solve for x
    x = 18,277,802,801.06/208,256.35
  6. Step 6: Final answer
    x = 87,765.88

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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.