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Finding the Fourth Proportional to 214,891.90, 321,894.93 and 125,875.54

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Solution

The fourth proportional to 214,891.90, 321,894.93 and 125,875.54 is: 188,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.90 : 321,894.93 = 125,875.54 : x
  2. Step 2: Convert to fraction form
    214,891.90/321,894.93 = 125,875.54/x
  3. Step 3: Cross multiply
    214,891.90x = 321,894.93 × 125,875.54
  4. Step 4: Simplify right side
    214,891.90x = 40,518,698,137.01
  5. Step 5: Solve for x
    x = 40,518,698,137.01/214,891.90
  6. Step 6: Final answer
    x = 188,553.86

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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.