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Finding the Fourth Proportional to 307,841.60, 461,719.20 and 97,500.80

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Solution

The fourth proportional to 307,841.60, 461,719.20 and 97,500.80 is: 146,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,841.60 : 461,719.20 = 97,500.80 : x
  2. Step 2: Convert to fraction form
    307,841.60/461,719.20 = 97,500.80/x
  3. Step 3: Cross multiply
    307,841.60x = 461,719.20 × 97,500.80
  4. Step 4: Simplify right side
    307,841.60x = 45,017,991,375.36
  5. Step 5: Solve for x
    x = 45,017,991,375.36/307,841.60
  6. Step 6: Final answer
    x = 146,237.52

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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.