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Finding the Fourth Proportional to 189,712.32, 284,739.84 and 101,040

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Solution

The fourth proportional to 189,712.32, 284,739.84 and 101,040 is: 151,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,712.32 : 284,739.84 = 101,040 : x
  2. Step 2: Convert to fraction form
    189,712.32/284,739.84 = 101,040/x
  3. Step 3: Cross multiply
    189,712.32x = 284,739.84 × 101,040
  4. Step 4: Simplify right side
    189,712.32x = 28,770,113,433.60
  5. Step 5: Solve for x
    x = 28,770,113,433.60/189,712.32
  6. Step 6: Final answer
    x = 151,651.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.