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Finding the Fourth Proportional to 213,714.70, 320,600.85 and 73,516.30

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Solution

The fourth proportional to 213,714.70, 320,600.85 and 73,516.30 is: 110,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714.70 : 320,600.85 = 73,516.30 : x
  2. Step 2: Convert to fraction form
    213,714.70/320,600.85 = 73,516.30/x
  3. Step 3: Cross multiply
    213,714.70x = 320,600.85 × 73,516.30
  4. Step 4: Simplify right side
    213,714.70x = 23,569,388,268.86
  5. Step 5: Solve for x
    x = 23,569,388,268.86/213,714.70
  6. Step 6: Final answer
    x = 110,284.36

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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.