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Finding the Fourth Proportional to 98,157.64, 135,462.96 and 57,895

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Solution

The fourth proportional to 98,157.64, 135,462.96 and 57,895 is: 79,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,157.64 : 135,462.96 = 57,895 : x
  2. Step 2: Convert to fraction form
    98,157.64/135,462.96 = 57,895/x
  3. Step 3: Cross multiply
    98,157.64x = 135,462.96 × 57,895
  4. Step 4: Simplify right side
    98,157.64x = 7,842,628,069.20
  5. Step 5: Solve for x
    x = 7,842,628,069.20/98,157.64
  6. Step 6: Final answer
    x = 79,898.29

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