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Finding the Fourth Proportional to 214,552.88, 296,050.92 and 119,059.28

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Solution

The fourth proportional to 214,552.88, 296,050.92 and 119,059.28 is: 164,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,552.88 : 296,050.92 = 119,059.28 : x
  2. Step 2: Convert to fraction form
    214,552.88/296,050.92 = 119,059.28/x
  3. Step 3: Cross multiply
    214,552.88x = 296,050.92 × 119,059.28
  4. Step 4: Simplify right side
    214,552.88x = 35,247,609,378.54
  5. Step 5: Solve for x
    x = 35,247,609,378.54/214,552.88
  6. Step 6: Final answer
    x = 164,284.02

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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.