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Finding the Fourth Proportional to 307,459.94, 461,202.26 and 97,097.94

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Solution

The fourth proportional to 307,459.94, 461,202.26 and 97,097.94 is: 145,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,459.94 : 461,202.26 = 97,097.94 : x
  2. Step 2: Convert to fraction form
    307,459.94/461,202.26 = 97,097.94/x
  3. Step 3: Cross multiply
    307,459.94x = 461,202.26 × 97,097.94
  4. Step 4: Simplify right side
    307,459.94x = 44,781,788,883.85
  5. Step 5: Solve for x
    x = 44,781,788,883.85/307,459.94
  6. Step 6: Final answer
    x = 145,650.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.