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Finding the Fourth Proportional to 297,161.22, 445,784.22 and 97,497.21

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Solution

The fourth proportional to 297,161.22, 445,784.22 and 97,497.21 is: 146,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,161.22 : 445,784.22 = 97,497.21 : x
  2. Step 2: Convert to fraction form
    297,161.22/445,784.22 = 97,497.21/x
  3. Step 3: Cross multiply
    297,161.22x = 445,784.22 × 97,497.21
  4. Step 4: Simplify right side
    297,161.22x = 43,462,717,712.03
  5. Step 5: Solve for x
    x = 43,462,717,712.03/297,161.22
  6. Step 6: Final answer
    x = 146,259.72

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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.