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Finding the Fourth Proportional to 106,914, 160,297.08 and 76,946.64

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Solution

The fourth proportional to 106,914, 160,297.08 and 76,946.64 is: 115,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,914 : 160,297.08 = 76,946.64 : x
  2. Step 2: Convert to fraction form
    106,914/160,297.08 = 76,946.64/x
  3. Step 3: Cross multiply
    106,914x = 160,297.08 × 76,946.64
  4. Step 4: Simplify right side
    106,914x = 12,334,321,707.81
  5. Step 5: Solve for x
    x = 12,334,321,707.81/106,914
  6. Step 6: Final answer
    x = 115,366.76

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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.