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Finding the Fourth Proportional to 307,967.10, 461,907.45 and 97,626.30

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Solution

The fourth proportional to 307,967.10, 461,907.45 and 97,626.30 is: 146,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,967.10 : 461,907.45 = 97,626.30 : x
  2. Step 2: Convert to fraction form
    307,967.10/461,907.45 = 97,626.30/x
  3. Step 3: Cross multiply
    307,967.10x = 461,907.45 × 97,626.30
  4. Step 4: Simplify right side
    307,967.10x = 45,094,315,285.94
  5. Step 5: Solve for x
    x = 45,094,315,285.94/307,967.10
  6. Step 6: Final answer
    x = 146,425.76

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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.