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Finding the Fourth Proportional to 215,249, 297,046.34 and 118,464.00

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Solution

The fourth proportional to 215,249, 297,046.34 and 118,464.00 is: 163,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,249 : 297,046.34 = 118,464.00 : x
  2. Step 2: Convert to fraction form
    215,249/297,046.34 = 118,464.00/x
  3. Step 3: Cross multiply
    215,249x = 297,046.34 × 118,464.00
  4. Step 4: Simplify right side
    215,249x = 35,189,296,136.53
  5. Step 5: Solve for x
    x = 35,189,296,136.53/215,249
  6. Step 6: Final answer
    x = 163,481.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.