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Finding the Fourth Proportional to 188,826.88, 282,976 and 142,024.96

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Solution

The fourth proportional to 188,826.88, 282,976 and 142,024.96 is: 212,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,826.88 : 282,976 = 142,024.96 : x
  2. Step 2: Convert to fraction form
    188,826.88/282,976 = 142,024.96/x
  3. Step 3: Cross multiply
    188,826.88x = 282,976 × 142,024.96
  4. Step 4: Simplify right side
    188,826.88x = 40,189,655,080.96
  5. Step 5: Solve for x
    x = 40,189,655,080.96/188,826.88
  6. Step 6: Final answer
    x = 212,838.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.