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Finding the Fourth Proportional to 128,498.40, 193,208.40 and 108,223.20

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Solution

The fourth proportional to 128,498.40, 193,208.40 and 108,223.20 is: 162,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,498.40 : 193,208.40 = 108,223.20 : x
  2. Step 2: Convert to fraction form
    128,498.40/193,208.40 = 108,223.20/x
  3. Step 3: Cross multiply
    128,498.40x = 193,208.40 × 108,223.20
  4. Step 4: Simplify right side
    128,498.40x = 20,909,631,314.88
  5. Step 5: Solve for x
    x = 20,909,631,314.88/128,498.40
  6. Step 6: Final answer
    x = 162,722.89

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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.