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Finding the Fourth Proportional to 97,410.70, 146,079.60 and 34,206.40

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Solution

The fourth proportional to 97,410.70, 146,079.60 and 34,206.40 is: 51,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,410.70 : 146,079.60 = 34,206.40 : x
  2. Step 2: Convert to fraction form
    97,410.70/146,079.60 = 34,206.40/x
  3. Step 3: Cross multiply
    97,410.70x = 146,079.60 × 34,206.40
  4. Step 4: Simplify right side
    97,410.70x = 4,996,857,229.44
  5. Step 5: Solve for x
    x = 4,996,857,229.44/97,410.70
  6. Step 6: Final answer
    x = 51,296.80

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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.