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Finding the Fourth Proportional to 98,052.64, 145,969.96 and 97,469.44

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Solution

The fourth proportional to 98,052.64, 145,969.96 and 97,469.44 is: 145,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,052.64 : 145,969.96 = 97,469.44 : x
  2. Step 2: Convert to fraction form
    98,052.64/145,969.96 = 97,469.44/x
  3. Step 3: Cross multiply
    98,052.64x = 145,969.96 × 97,469.44
  4. Step 4: Simplify right side
    98,052.64x = 14,227,610,258.02
  5. Step 5: Solve for x
    x = 14,227,610,258.02/98,052.64
  6. Step 6: Final answer
    x = 145,101.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.