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Finding the Fourth Proportional to 189,092.67, 260,944.38 and 103,052.34

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Solution

The fourth proportional to 189,092.67, 260,944.38 and 103,052.34 is: 142,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.67 : 260,944.38 = 103,052.34 : x
  2. Step 2: Convert to fraction form
    189,092.67/260,944.38 = 103,052.34/x
  3. Step 3: Cross multiply
    189,092.67x = 260,944.38 × 103,052.34
  4. Step 4: Simplify right side
    189,092.67x = 26,890,928,968.85
  5. Step 5: Solve for x
    x = 26,890,928,968.85/189,092.67
  6. Step 6: Final answer
    x = 142,210.32

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Why These Related Problems?

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