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Finding the Fourth Proportional to 189,129.40, 283,694.10 and 110,332.60

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Solution

The fourth proportional to 189,129.40, 283,694.10 and 110,332.60 is: 165,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,129.40 : 283,694.10 = 110,332.60 : x
  2. Step 2: Convert to fraction form
    189,129.40/283,694.10 = 110,332.60/x
  3. Step 3: Cross multiply
    189,129.40x = 283,694.10 × 110,332.60
  4. Step 4: Simplify right side
    189,129.40x = 31,300,707,657.66
  5. Step 5: Solve for x
    x = 31,300,707,657.66/189,129.40
  6. Step 6: Final answer
    x = 165,498.90

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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.