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Finding the Fourth Proportional to 214,610.66, 321,919.04 and 64,852.20

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Solution

The fourth proportional to 214,610.66, 321,919.04 and 64,852.20 is: 97,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,610.66 : 321,919.04 = 64,852.20 : x
  2. Step 2: Convert to fraction form
    214,610.66/321,919.04 = 64,852.20/x
  3. Step 3: Cross multiply
    214,610.66x = 321,919.04 × 64,852.20
  4. Step 4: Simplify right side
    214,610.66x = 20,877,157,965.89
  5. Step 5: Solve for x
    x = 20,877,157,965.89/214,610.66
  6. Step 6: Final answer
    x = 97,279.22

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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.