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Finding the Fourth Proportional to 98,137.12, 135,424.56 and 55,689.88

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Solution

The fourth proportional to 98,137.12, 135,424.56 and 55,689.88 is: 76,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,137.12 : 135,424.56 = 55,689.88 : x
  2. Step 2: Convert to fraction form
    98,137.12/135,424.56 = 55,689.88/x
  3. Step 3: Cross multiply
    98,137.12x = 135,424.56 × 55,689.88
  4. Step 4: Simplify right side
    98,137.12x = 7,541,777,495.45
  5. Step 5: Solve for x
    x = 7,541,777,495.45/98,137.12
  6. Step 6: Final answer
    x = 76,849.39

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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.