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Finding the Fourth Proportional to 111,908.60, 167,862.90 and 106,465.40

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Solution

The fourth proportional to 111,908.60, 167,862.90 and 106,465.40 is: 159,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,908.60 : 167,862.90 = 106,465.40 : x
  2. Step 2: Convert to fraction form
    111,908.60/167,862.90 = 106,465.40/x
  3. Step 3: Cross multiply
    111,908.60x = 167,862.90 × 106,465.40
  4. Step 4: Simplify right side
    111,908.60x = 17,871,590,793.66
  5. Step 5: Solve for x
    x = 17,871,590,793.66/111,908.60
  6. Step 6: Final answer
    x = 159,698.10

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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.