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Finding the Fourth Proportional to 208,294.34, 312,453.65 and 58,546.29

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Solution

The fourth proportional to 208,294.34, 312,453.65 and 58,546.29 is: 87,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.34 : 312,453.65 = 58,546.29 : x
  2. Step 2: Convert to fraction form
    208,294.34/312,453.65 = 58,546.29/x
  3. Step 3: Cross multiply
    208,294.34x = 312,453.65 × 58,546.29
  4. Step 4: Simplify right side
    208,294.34x = 18,293,003,322.53
  5. Step 5: Solve for x
    x = 18,293,003,322.53/208,294.34
  6. Step 6: Final answer
    x = 87,822.86

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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.