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Finding the Fourth Proportional to 214,095.60, 321,143.40 and 114,562.80

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Solution

The fourth proportional to 214,095.60, 321,143.40 and 114,562.80 is: 171,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,095.60 : 321,143.40 = 114,562.80 : x
  2. Step 2: Convert to fraction form
    214,095.60/321,143.40 = 114,562.80/x
  3. Step 3: Cross multiply
    214,095.60x = 321,143.40 × 114,562.80
  4. Step 4: Simplify right side
    214,095.60x = 36,791,087,105.52
  5. Step 5: Solve for x
    x = 36,791,087,105.52/214,095.60
  6. Step 6: Final answer
    x = 171,844.20

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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.