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Finding the Fourth Proportional to 214,758.96, 296,371.38 and 119,274.60

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Solution

The fourth proportional to 214,758.96, 296,371.38 and 119,274.60 is: 164,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758.96 : 296,371.38 = 119,274.60 : x
  2. Step 2: Convert to fraction form
    214,758.96/296,371.38 = 119,274.60/x
  3. Step 3: Cross multiply
    214,758.96x = 296,371.38 × 119,274.60
  4. Step 4: Simplify right side
    214,758.96x = 35,349,577,800.95
  5. Step 5: Solve for x
    x = 35,349,577,800.95/214,758.96
  6. Step 6: Final answer
    x = 164,601.18

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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.