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Finding the Fourth Proportional to 110,494.80, 165,931.74 and 105,508.44

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Solution

The fourth proportional to 110,494.80, 165,931.74 and 105,508.44 is: 158,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,494.80 : 165,931.74 = 105,508.44 : x
  2. Step 2: Convert to fraction form
    110,494.80/165,931.74 = 105,508.44/x
  3. Step 3: Cross multiply
    110,494.80x = 165,931.74 × 105,508.44
  4. Step 4: Simplify right side
    110,494.80x = 17,507,199,033.89
  5. Step 5: Solve for x
    x = 17,507,199,033.89/110,494.80
  6. Step 6: Final answer
    x = 158,443.65

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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.