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Finding the Fourth Proportional to 110,205.49, 165,323.80 and 35,308.12

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Solution

The fourth proportional to 110,205.49, 165,323.80 and 35,308.12 is: 52,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,205.49 : 165,323.80 = 35,308.12 : x
  2. Step 2: Convert to fraction form
    110,205.49/165,323.80 = 35,308.12/x
  3. Step 3: Cross multiply
    110,205.49x = 165,323.80 × 35,308.12
  4. Step 4: Simplify right side
    110,205.49x = 5,837,271,742.64
  5. Step 5: Solve for x
    x = 5,837,271,742.64/110,205.49
  6. Step 6: Final answer
    x = 52,967.16

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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.