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Finding the Fourth Proportional to 334,086.33, 501,203.21 and 97,447.53

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Solution

The fourth proportional to 334,086.33, 501,203.21 and 97,447.53 is: 146,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,086.33 : 501,203.21 = 97,447.53 : x
  2. Step 2: Convert to fraction form
    334,086.33/501,203.21 = 97,447.53/x
  3. Step 3: Cross multiply
    334,086.33x = 501,203.21 × 97,447.53
  4. Step 4: Simplify right side
    334,086.33x = 48,841,014,355.33
  5. Step 5: Solve for x
    x = 48,841,014,355.33/334,086.33
  6. Step 6: Final answer
    x = 146,192.80

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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.