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Finding the Fourth Proportional to 120,325.50, 165,678.30 and 106,873.38

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Solution

The fourth proportional to 120,325.50, 165,678.30 and 106,873.38 is: 147,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,325.50 : 165,678.30 = 106,873.38 : x
  2. Step 2: Convert to fraction form
    120,325.50/165,678.30 = 106,873.38/x
  3. Step 3: Cross multiply
    120,325.50x = 165,678.30 × 106,873.38
  4. Step 4: Simplify right side
    120,325.50x = 17,706,599,913.65
  5. Step 5: Solve for x
    x = 17,706,599,913.65/120,325.50
  6. Step 6: Final answer
    x = 147,155.84

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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.