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Finding the Fourth Proportional to 189,405.59, 283,763.83 and 110,279.93

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Solution

The fourth proportional to 189,405.59, 283,763.83 and 110,279.93 is: 165,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405.59 : 283,763.83 = 110,279.93 : x
  2. Step 2: Convert to fraction form
    189,405.59/283,763.83 = 110,279.93/x
  3. Step 3: Cross multiply
    189,405.59x = 283,763.83 × 110,279.93
  4. Step 4: Simplify right side
    189,405.59x = 31,293,454,323.82
  5. Step 5: Solve for x
    x = 31,293,454,323.82/189,405.59
  6. Step 6: Final answer
    x = 165,219.28

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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.