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Finding the Fourth Proportional to 107,224.40, 160,966.20 and 106,446.80

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Solution

The fourth proportional to 107,224.40, 160,966.20 and 106,446.80 is: 159,798.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,224.40 : 160,966.20 = 106,446.80 : x
  2. Step 2: Convert to fraction form
    107,224.40/160,966.20 = 106,446.80/x
  3. Step 3: Cross multiply
    107,224.40x = 160,966.20 × 106,446.80
  4. Step 4: Simplify right side
    107,224.40x = 17,134,336,898.16
  5. Step 5: Solve for x
    x = 17,134,336,898.16/107,224.40
  6. Step 6: Final answer
    x = 159,798.86

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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.