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Finding the Fourth Proportional to 128,821.40, 193,232.10 and 97,717.40

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Solution

The fourth proportional to 128,821.40, 193,232.10 and 97,717.40 is: 146,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,821.40 : 193,232.10 = 97,717.40 : x
  2. Step 2: Convert to fraction form
    128,821.40/193,232.10 = 97,717.40/x
  3. Step 3: Cross multiply
    128,821.40x = 193,232.10 × 97,717.40
  4. Step 4: Simplify right side
    128,821.40x = 18,882,138,408.54
  5. Step 5: Solve for x
    x = 18,882,138,408.54/128,821.40
  6. Step 6: Final answer
    x = 146,576.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.