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Finding the Fourth Proportional to 215,188, 296,959.44 and 120,980

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Solution

The fourth proportional to 215,188, 296,959.44 and 120,980 is: 166,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,188 : 296,959.44 = 120,980 : x
  2. Step 2: Convert to fraction form
    215,188/296,959.44 = 120,980/x
  3. Step 3: Cross multiply
    215,188x = 296,959.44 × 120,980
  4. Step 4: Simplify right side
    215,188x = 35,926,153,051.20
  5. Step 5: Solve for x
    x = 35,926,153,051.20/215,188
  6. Step 6: Final answer
    x = 166,952.40

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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.