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Finding the Fourth Proportional to 208,326, 312,541.92 and 60,582

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Solution

The fourth proportional to 208,326, 312,541.92 and 60,582 is: 90,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326 : 312,541.92 = 60,582 : x
  2. Step 2: Convert to fraction form
    208,326/312,541.92 = 60,582/x
  3. Step 3: Cross multiply
    208,326x = 312,541.92 × 60,582
  4. Step 4: Simplify right side
    208,326x = 18,934,414,597.44
  5. Step 5: Solve for x
    x = 18,934,414,597.44/208,326
  6. Step 6: Final answer
    x = 90,888.39

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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.