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Finding the Fourth Proportional to 110,509.60, 165,569.20 and 106,855.20

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Solution

The fourth proportional to 110,509.60, 165,569.20 and 106,855.20 is: 160,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509.60 : 165,569.20 = 106,855.20 : x
  2. Step 2: Convert to fraction form
    110,509.60/165,569.20 = 106,855.20/x
  3. Step 3: Cross multiply
    110,509.60x = 165,569.20 × 106,855.20
  4. Step 4: Simplify right side
    110,509.60x = 17,691,929,979.84
  5. Step 5: Solve for x
    x = 17,691,929,979.84/110,509.60
  6. Step 6: Final answer
    x = 160,094.05

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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.