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Finding the Fourth Proportional to 214,844.32, 296,437.44 and 129,959.60

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Solution

The fourth proportional to 214,844.32, 296,437.44 and 129,959.60 is: 179,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,844.32 : 296,437.44 = 129,959.60 : x
  2. Step 2: Convert to fraction form
    214,844.32/296,437.44 = 129,959.60/x
  3. Step 3: Cross multiply
    214,844.32x = 296,437.44 × 129,959.60
  4. Step 4: Simplify right side
    214,844.32x = 38,524,891,127.42
  5. Step 5: Solve for x
    x = 38,524,891,127.42/214,844.32
  6. Step 6: Final answer
    x = 179,315.38

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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.