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Finding the Fourth Proportional to 214,483.86, 321,728.26 and 64,725.44

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Solution

The fourth proportional to 214,483.86, 321,728.26 and 64,725.44 is: 97,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,483.86 : 321,728.26 = 64,725.44 : x
  2. Step 2: Convert to fraction form
    214,483.86/321,728.26 = 64,725.44/x
  3. Step 3: Cross multiply
    214,483.86x = 321,728.26 × 64,725.44
  4. Step 4: Simplify right side
    214,483.86x = 20,824,003,188.93
  5. Step 5: Solve for x
    x = 20,824,003,188.93/214,483.86
  6. Step 6: Final answer
    x = 97,088.91

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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.