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Finding the Fourth Proportional to 222,714.30, 334,114.65 and 96,354.30

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Solution

The fourth proportional to 222,714.30, 334,114.65 and 96,354.30 is: 144,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,714.30 : 334,114.65 = 96,354.30 : x
  2. Step 2: Convert to fraction form
    222,714.30/334,114.65 = 96,354.30/x
  3. Step 3: Cross multiply
    222,714.30x = 334,114.65 × 96,354.30
  4. Step 4: Simplify right side
    222,714.30x = 32,193,383,220.50
  5. Step 5: Solve for x
    x = 32,193,383,220.50/222,714.30
  6. Step 6: Final answer
    x = 144,550.14

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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.