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Finding the Fourth Proportional to 307,265.76, 460,898.10 and 120,146.04

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Solution

The fourth proportional to 307,265.76, 460,898.10 and 120,146.04 is: 180,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,265.76 : 460,898.10 = 120,146.04 : x
  2. Step 2: Convert to fraction form
    307,265.76/460,898.10 = 120,146.04/x
  3. Step 3: Cross multiply
    307,265.76x = 460,898.10 × 120,146.04
  4. Step 4: Simplify right side
    307,265.76x = 55,375,081,558.52
  5. Step 5: Solve for x
    x = 55,375,081,558.52/307,265.76
  6. Step 6: Final answer
    x = 180,218.85

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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.