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Finding the Fourth Proportional to 334,139.90, 501,324.60 and 97,517.30

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Solution

The fourth proportional to 334,139.90, 501,324.60 and 97,517.30 is: 146,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,139.90 : 501,324.60 = 97,517.30 : x
  2. Step 2: Convert to fraction form
    334,139.90/501,324.60 = 97,517.30/x
  3. Step 3: Cross multiply
    334,139.90x = 501,324.60 × 97,517.30
  4. Step 4: Simplify right side
    334,139.90x = 48,887,821,415.58
  5. Step 5: Solve for x
    x = 48,887,821,415.58/334,139.90
  6. Step 6: Final answer
    x = 146,309.44

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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.