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Finding the Fourth Proportional to 214,566.06, 321,854.54 and 64,811.24

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Solution

The fourth proportional to 214,566.06, 321,854.54 and 64,811.24 is: 97,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,566.06 : 321,854.54 = 64,811.24 : x
  2. Step 2: Convert to fraction form
    214,566.06/321,854.54 = 64,811.24/x
  3. Step 3: Cross multiply
    214,566.06x = 321,854.54 × 64,811.24
  4. Step 4: Simplify right side
    214,566.06x = 20,859,789,903.70
  5. Step 5: Solve for x
    x = 20,859,789,903.70/214,566.06
  6. Step 6: Final answer
    x = 97,218.50

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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.