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Finding the Fourth Proportional to 214,959.30, 296,642.70 and 119,474.88

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Solution

The fourth proportional to 214,959.30, 296,642.70 and 119,474.88 is: 164,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,959.30 : 296,642.70 = 119,474.88 : x
  2. Step 2: Convert to fraction form
    214,959.30/296,642.70 = 119,474.88/x
  3. Step 3: Cross multiply
    214,959.30x = 296,642.70 × 119,474.88
  4. Step 4: Simplify right side
    214,959.30x = 35,441,350,985.38
  5. Step 5: Solve for x
    x = 35,441,350,985.38/214,959.30
  6. Step 6: Final answer
    x = 164,874.70

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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.