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Finding the Fourth Proportional to 214,796.98, 296,411.58 and 119,309.76

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Solution

The fourth proportional to 214,796.98, 296,411.58 and 119,309.76 is: 164,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,796.98 : 296,411.58 = 119,309.76 : x
  2. Step 2: Convert to fraction form
    214,796.98/296,411.58 = 119,309.76/x
  3. Step 3: Cross multiply
    214,796.98x = 296,411.58 × 119,309.76
  4. Step 4: Simplify right side
    214,796.98x = 35,364,794,471.02
  5. Step 5: Solve for x
    x = 35,364,794,471.02/214,796.98
  6. Step 6: Final answer
    x = 164,642.88

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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.