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Finding the Fourth Proportional to 214,970.92, 322,502.25 and 72,811.22

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Solution

The fourth proportional to 214,970.92, 322,502.25 and 72,811.22 is: 109,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.92 : 322,502.25 = 72,811.22 : x
  2. Step 2: Convert to fraction form
    214,970.92/322,502.25 = 72,811.22/x
  3. Step 3: Cross multiply
    214,970.92x = 322,502.25 × 72,811.22
  4. Step 4: Simplify right side
    214,970.92x = 23,481,780,526.21
  5. Step 5: Solve for x
    x = 23,481,780,526.21/214,970.92
  6. Step 6: Final answer
    x = 109,232.36

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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.