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Finding the Fourth Proportional to 110,714.30, 166,071.45 and 100,216.70

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Solution

The fourth proportional to 110,714.30, 166,071.45 and 100,216.70 is: 150,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,714.30 : 166,071.45 = 100,216.70 : x
  2. Step 2: Convert to fraction form
    110,714.30/166,071.45 = 100,216.70/x
  3. Step 3: Cross multiply
    110,714.30x = 166,071.45 × 100,216.70
  4. Step 4: Simplify right side
    110,714.30x = 16,643,132,683.22
  5. Step 5: Solve for x
    x = 16,643,132,683.22/110,714.30
  6. Step 6: Final answer
    x = 150,325.05

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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.