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Finding the Fourth Proportional to 106,713.64, 160,020.24 and 62,353.18

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Solution

The fourth proportional to 106,713.64, 160,020.24 and 62,353.18 is: 93,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,713.64 : 160,020.24 = 62,353.18 : x
  2. Step 2: Convert to fraction form
    106,713.64/160,020.24 = 62,353.18/x
  3. Step 3: Cross multiply
    106,713.64x = 160,020.24 × 62,353.18
  4. Step 4: Simplify right side
    106,713.64x = 9,977,770,828.36
  5. Step 5: Solve for x
    x = 9,977,770,828.36/106,713.64
  6. Step 6: Final answer
    x = 93,500.43

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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.