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Finding the Fourth Proportional to 189,342.34, 261,283.31 and 103,296.20

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Solution

The fourth proportional to 189,342.34, 261,283.31 and 103,296.20 is: 142,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,342.34 : 261,283.31 = 103,296.20 : x
  2. Step 2: Convert to fraction form
    189,342.34/261,283.31 = 103,296.20/x
  3. Step 3: Cross multiply
    189,342.34x = 261,283.31 × 103,296.20
  4. Step 4: Simplify right side
    189,342.34x = 26,989,573,046.42
  5. Step 5: Solve for x
    x = 26,989,573,046.42/189,342.34
  6. Step 6: Final answer
    x = 142,543.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.