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Finding the Fourth Proportional to 98,147.64, 135,447.02 and 53,437.24

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Solution

The fourth proportional to 98,147.64, 135,447.02 and 53,437.24 is: 73,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,147.64 : 135,447.02 = 53,437.24 : x
  2. Step 2: Convert to fraction form
    98,147.64/135,447.02 = 53,437.24/x
  3. Step 3: Cross multiply
    98,147.64x = 135,447.02 × 53,437.24
  4. Step 4: Simplify right side
    98,147.64x = 7,237,914,915.02
  5. Step 5: Solve for x
    x = 7,237,914,915.02/98,147.64
  6. Step 6: Final answer
    x = 73,745.18

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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.