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Finding the Fourth Proportional to 111,594.40, 166,905.60 and 99,833.20

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Solution

The fourth proportional to 111,594.40, 166,905.60 and 99,833.20 is: 149,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,594.40 : 166,905.60 = 99,833.20 : x
  2. Step 2: Convert to fraction form
    111,594.40/166,905.60 = 99,833.20/x
  3. Step 3: Cross multiply
    111,594.40x = 166,905.60 × 99,833.20
  4. Step 4: Simplify right side
    111,594.40x = 16,662,720,145.92
  5. Step 5: Solve for x
    x = 16,662,720,145.92/111,594.40
  6. Step 6: Final answer
    x = 149,315.02

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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.