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Finding the Fourth Proportional to 307,537.40, 461,370.90 and 97,196.60

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Solution

The fourth proportional to 307,537.40, 461,370.90 and 97,196.60 is: 145,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,537.40 : 461,370.90 = 97,196.60 : x
  2. Step 2: Convert to fraction form
    307,537.40/461,370.90 = 97,196.60/x
  3. Step 3: Cross multiply
    307,537.40x = 461,370.90 × 97,196.60
  4. Step 4: Simplify right side
    307,537.40x = 44,843,682,818.94
  5. Step 5: Solve for x
    x = 44,843,682,818.94/307,537.40
  6. Step 6: Final answer
    x = 145,815.38

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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.