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Finding the Fourth Proportional to 193,220.64, 289,914.40 and 104,536.64

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Solution

The fourth proportional to 193,220.64, 289,914.40 and 104,536.64 is: 156,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,220.64 : 289,914.40 = 104,536.64 : x
  2. Step 2: Convert to fraction form
    193,220.64/289,914.40 = 104,536.64/x
  3. Step 3: Cross multiply
    193,220.64x = 289,914.40 × 104,536.64
  4. Step 4: Simplify right side
    193,220.64x = 30,306,677,263.62
  5. Step 5: Solve for x
    x = 30,306,677,263.62/193,220.64
  6. Step 6: Final answer
    x = 156,850.10

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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.