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Finding the Fourth Proportional to 307,973.22, 461,959.83 and 97,611.15

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Solution

The fourth proportional to 307,973.22, 461,959.83 and 97,611.15 is: 146,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,973.22 : 461,959.83 = 97,611.15 : x
  2. Step 2: Convert to fraction form
    307,973.22/461,959.83 = 97,611.15/x
  3. Step 3: Cross multiply
    307,973.22x = 461,959.83 × 97,611.15
  4. Step 4: Simplify right side
    307,973.22x = 45,092,430,260.10
  5. Step 5: Solve for x
    x = 45,092,430,260.10/307,973.22
  6. Step 6: Final answer
    x = 146,416.73

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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.