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Finding the Fourth Proportional to 107,429.40, 160,949.70 and 65,827.80

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Solution

The fourth proportional to 107,429.40, 160,949.70 and 65,827.80 is: 98,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,429.40 : 160,949.70 = 65,827.80 : x
  2. Step 2: Convert to fraction form
    107,429.40/160,949.70 = 65,827.80/x
  3. Step 3: Cross multiply
    107,429.40x = 160,949.70 × 65,827.80
  4. Step 4: Simplify right side
    107,429.40x = 10,594,964,661.66
  5. Step 5: Solve for x
    x = 10,594,964,661.66/107,429.40
  6. Step 6: Final answer
    x = 98,622.58

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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.