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Finding the Fourth Proportional to 214,432.80, 321,649.20 and 56,677.20

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Solution

The fourth proportional to 214,432.80, 321,649.20 and 56,677.20 is: 85,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,432.80 : 321,649.20 = 56,677.20 : x
  2. Step 2: Convert to fraction form
    214,432.80/321,649.20 = 56,677.20/x
  3. Step 3: Cross multiply
    214,432.80x = 321,649.20 × 56,677.20
  4. Step 4: Simplify right side
    214,432.80x = 18,230,176,038.24
  5. Step 5: Solve for x
    x = 18,230,176,038.24/214,432.80
  6. Step 6: Final answer
    x = 85,015.80

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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.