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Finding the Fourth Proportional to 110,643.60, 165,965.40 and 75,214.20

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Solution

The fourth proportional to 110,643.60, 165,965.40 and 75,214.20 is: 112,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,643.60 : 165,965.40 = 75,214.20 : x
  2. Step 2: Convert to fraction form
    110,643.60/165,965.40 = 75,214.20/x
  3. Step 3: Cross multiply
    110,643.60x = 165,965.40 × 75,214.20
  4. Step 4: Simplify right side
    110,643.60x = 12,482,954,788.68
  5. Step 5: Solve for x
    x = 12,482,954,788.68/110,643.60
  6. Step 6: Final answer
    x = 112,821.30

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1.5x scale

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.