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Finding the Fourth Proportional to 213,714.60, 320,571.90 and 89,039.40

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Solution

The fourth proportional to 213,714.60, 320,571.90 and 89,039.40 is: 133,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714.60 : 320,571.90 = 89,039.40 : x
  2. Step 2: Convert to fraction form
    213,714.60/320,571.90 = 89,039.40/x
  3. Step 3: Cross multiply
    213,714.60x = 320,571.90 × 89,039.40
  4. Step 4: Simplify right side
    213,714.60x = 28,543,529,632.86
  5. Step 5: Solve for x
    x = 28,543,529,632.86/213,714.60
  6. Step 6: Final answer
    x = 133,559.10

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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.