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Finding the Fourth Proportional to 193,794.80, 267,459 and 107,762.36

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Solution

The fourth proportional to 193,794.80, 267,459 and 107,762.36 is: 148,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,794.80 : 267,459 = 107,762.36 : x
  2. Step 2: Convert to fraction form
    193,794.80/267,459 = 107,762.36/x
  3. Step 3: Cross multiply
    193,794.80x = 267,459 × 107,762.36
  4. Step 4: Simplify right side
    193,794.80x = 28,822,013,711.89
  5. Step 5: Solve for x
    x = 28,822,013,711.89/193,794.80
  6. Step 6: Final answer
    x = 148,724.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.