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Finding the Fourth Proportional to 307,605.20, 461,405.03 and 97,243.20

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Solution

The fourth proportional to 307,605.20, 461,405.03 and 97,243.20 is: 145,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,605.20 : 461,405.03 = 97,243.20 : x
  2. Step 2: Convert to fraction form
    307,605.20/461,405.03 = 97,243.20/x
  3. Step 3: Cross multiply
    307,605.20x = 461,405.03 × 97,243.20
  4. Step 4: Simplify right side
    307,605.20x = 44,868,501,127.08
  5. Step 5: Solve for x
    x = 44,868,501,127.08/307,605.20
  6. Step 6: Final answer
    x = 145,863.93

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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.