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Finding the Fourth Proportional to 296,714.25, 445,091.90 and 119,221.11

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Solution

The fourth proportional to 296,714.25, 445,091.90 and 119,221.11 is: 178,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,714.25 : 445,091.90 = 119,221.11 : x
  2. Step 2: Convert to fraction form
    296,714.25/445,091.90 = 119,221.11/x
  3. Step 3: Cross multiply
    296,714.25x = 445,091.90 × 119,221.11
  4. Step 4: Simplify right side
    296,714.25x = 53,064,349,773.90
  5. Step 5: Solve for x
    x = 53,064,349,773.90/296,714.25
  6. Step 6: Final answer
    x = 178,839.91

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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.