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Finding the Fourth Proportional to 178,005, 245,647.62 and 98,517

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Solution

The fourth proportional to 178,005, 245,647.62 and 98,517 is: 135,953.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005 : 245,647.62 = 98,517 : x
  2. Step 2: Convert to fraction form
    178,005/245,647.62 = 98,517/x
  3. Step 3: Cross multiply
    178,005x = 245,647.62 × 98,517
  4. Step 4: Simplify right side
    178,005x = 24,200,466,579.54
  5. Step 5: Solve for x
    x = 24,200,466,579.54/178,005
  6. Step 6: Final answer
    x = 135,953.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.