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Finding the Fourth Proportional to 214,490.94, 296,032.91 and 119,028.39

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Solution

The fourth proportional to 214,490.94, 296,032.91 and 119,028.39 is: 164,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,490.94 : 296,032.91 = 119,028.39 : x
  2. Step 2: Convert to fraction form
    214,490.94/296,032.91 = 119,028.39/x
  3. Step 3: Cross multiply
    214,490.94x = 296,032.91 × 119,028.39
  4. Step 4: Simplify right side
    214,490.94x = 35,236,320,069.17
  5. Step 5: Solve for x
    x = 35,236,320,069.17/214,490.94
  6. Step 6: Final answer
    x = 164,278.83

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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.