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Finding the Fourth Proportional to 203,090.60, 304,573.53 and 140,314.13

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Solution

The fourth proportional to 203,090.60, 304,573.53 and 140,314.13 is: 210,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,090.60 : 304,573.53 = 140,314.13 : x
  2. Step 2: Convert to fraction form
    203,090.60/304,573.53 = 140,314.13/x
  3. Step 3: Cross multiply
    203,090.60x = 304,573.53 × 140,314.13
  4. Step 4: Simplify right side
    203,090.60x = 42,735,970,028.44
  5. Step 5: Solve for x
    x = 42,735,970,028.44/203,090.60
  6. Step 6: Final answer
    x = 210,428.10

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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.