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Finding the Fourth Proportional to 203,302.31, 304,955.89 and 96,697.60

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Solution

The fourth proportional to 203,302.31, 304,955.89 and 96,697.60 is: 145,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,302.31 : 304,955.89 = 96,697.60 : x
  2. Step 2: Convert to fraction form
    203,302.31/304,955.89 = 96,697.60/x
  3. Step 3: Cross multiply
    203,302.31x = 304,955.89 × 96,697.60
  4. Step 4: Simplify right side
    203,302.31x = 29,488,501,664.73
  5. Step 5: Solve for x
    x = 29,488,501,664.73/203,302.31
  6. Step 6: Final answer
    x = 145,047.55

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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.