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Finding the Fourth Proportional to 98,214.96, 135,537.60 and 55,773.80

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Solution

The fourth proportional to 98,214.96, 135,537.60 and 55,773.80 is: 76,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,214.96 : 135,537.60 = 55,773.80 : x
  2. Step 2: Convert to fraction form
    98,214.96/135,537.60 = 55,773.80/x
  3. Step 3: Cross multiply
    98,214.96x = 135,537.60 × 55,773.80
  4. Step 4: Simplify right side
    98,214.96x = 7,559,446,994.88
  5. Step 5: Solve for x
    x = 7,559,446,994.88/98,214.96
  6. Step 6: Final answer
    x = 76,968.39

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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.