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Finding the Fourth Proportional to 214,023.60, 321,726.60 and 152,122.80

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Solution

The fourth proportional to 214,023.60, 321,726.60 and 152,122.80 is: 228,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,023.60 : 321,726.60 = 152,122.80 : x
  2. Step 2: Convert to fraction form
    214,023.60/321,726.60 = 152,122.80/x
  3. Step 3: Cross multiply
    214,023.60x = 321,726.60 × 152,122.80
  4. Step 4: Simplify right side
    214,023.60x = 48,941,951,226.48
  5. Step 5: Solve for x
    x = 48,941,951,226.48/214,023.60
  6. Step 6: Final answer
    x = 228,675.49

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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.