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Finding the Fourth Proportional to 214,766.76, 322,153.92 and 65,008.56

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Solution

The fourth proportional to 214,766.76, 322,153.92 and 65,008.56 is: 97,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,766.76 : 322,153.92 = 65,008.56 : x
  2. Step 2: Convert to fraction form
    214,766.76/322,153.92 = 65,008.56/x
  3. Step 3: Cross multiply
    214,766.76x = 322,153.92 × 65,008.56
  4. Step 4: Simplify right side
    214,766.76x = 20,942,762,437.56
  5. Step 5: Solve for x
    x = 20,942,762,437.56/214,766.76
  6. Step 6: Final answer
    x = 97,513.98

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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.