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Finding the Fourth Proportional to 214,510.68, 295,951.41 and 122,563.98

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Solution

The fourth proportional to 214,510.68, 295,951.41 and 122,563.98 is: 169,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,510.68 : 295,951.41 = 122,563.98 : x
  2. Step 2: Convert to fraction form
    214,510.68/295,951.41 = 122,563.98/x
  3. Step 3: Cross multiply
    214,510.68x = 295,951.41 × 122,563.98
  4. Step 4: Simplify right side
    214,510.68x = 36,272,982,696.21
  5. Step 5: Solve for x
    x = 36,272,982,696.21/214,510.68
  6. Step 6: Final answer
    x = 169,096.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.