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Finding the Fourth Proportional to 110,742.80, 166,114.20 and 97,620.80

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Solution

The fourth proportional to 110,742.80, 166,114.20 and 97,620.80 is: 146,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,742.80 : 166,114.20 = 97,620.80 : x
  2. Step 2: Convert to fraction form
    110,742.80/166,114.20 = 97,620.80/x
  3. Step 3: Cross multiply
    110,742.80x = 166,114.20 × 97,620.80
  4. Step 4: Simplify right side
    110,742.80x = 16,216,201,095.36
  5. Step 5: Solve for x
    x = 16,216,201,095.36/110,742.80
  6. Step 6: Final answer
    x = 146,431.20

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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.