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Finding the Fourth Proportional to 214,388.71, 321,775.81 and 114,634.17

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Solution

The fourth proportional to 214,388.71, 321,775.81 and 114,634.17 is: 172,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,388.71 : 321,775.81 = 114,634.17 : x
  2. Step 2: Convert to fraction form
    214,388.71/321,775.81 = 114,634.17/x
  3. Step 3: Cross multiply
    214,388.71x = 321,775.81 × 114,634.17
  4. Step 4: Simplify right side
    214,388.71x = 36,886,502,618.84
  5. Step 5: Solve for x
    x = 36,886,502,618.84/214,388.71
  6. Step 6: Final answer
    x = 172,054.32

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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.