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Finding the Fourth Proportional to 178,969.32, 246,977.78 and 98,398.22

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Solution

The fourth proportional to 178,969.32, 246,977.78 and 98,398.22 is: 135,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,969.32 : 246,977.78 = 98,398.22 : x
  2. Step 2: Convert to fraction form
    178,969.32/246,977.78 = 98,398.22/x
  3. Step 3: Cross multiply
    178,969.32x = 246,977.78 × 98,398.22
  4. Step 4: Simplify right side
    178,969.32x = 24,302,172,204.67
  5. Step 5: Solve for x
    x = 24,302,172,204.67/178,969.32
  6. Step 6: Final answer
    x = 135,789.60

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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.