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Finding the Fourth Proportional to 189,095.31, 283,676.70 and 62,743.14

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Solution

The fourth proportional to 189,095.31, 283,676.70 and 62,743.14 is: 94,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,095.31 : 283,676.70 = 62,743.14 : x
  2. Step 2: Convert to fraction form
    189,095.31/283,676.70 = 62,743.14/x
  3. Step 3: Cross multiply
    189,095.31x = 283,676.70 × 62,743.14
  4. Step 4: Simplify right side
    189,095.31x = 17,798,766,902.84
  5. Step 5: Solve for x
    x = 17,798,766,902.84/189,095.31
  6. Step 6: Final answer
    x = 94,125.90

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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.