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Finding the Fourth Proportional to 298,178.60, 447,265.84 and 120,683.04

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Solution

The fourth proportional to 298,178.60, 447,265.84 and 120,683.04 is: 181,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,178.60 : 447,265.84 = 120,683.04 : x
  2. Step 2: Convert to fraction form
    298,178.60/447,265.84 = 120,683.04/x
  3. Step 3: Cross multiply
    298,178.60x = 447,265.84 × 120,683.04
  4. Step 4: Simplify right side
    298,178.60x = 53,977,400,957.65
  5. Step 5: Solve for x
    x = 53,977,400,957.65/298,178.60
  6. Step 6: Final answer
    x = 181,023.73

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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.