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Finding the Fourth Proportional to 307,467.10, 461,200.65 and 108,012.70

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Solution

The fourth proportional to 307,467.10, 461,200.65 and 108,012.70 is: 162,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,467.10 : 461,200.65 = 108,012.70 : x
  2. Step 2: Convert to fraction form
    307,467.10/461,200.65 = 108,012.70/x
  3. Step 3: Cross multiply
    307,467.10x = 461,200.65 × 108,012.70
  4. Step 4: Simplify right side
    307,467.10x = 49,815,527,448.26
  5. Step 5: Solve for x
    x = 49,815,527,448.26/307,467.10
  6. Step 6: Final answer
    x = 162,019.05

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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.