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Finding the Fourth Proportional to 307,163.72, 460,784.54 and 120,150.92

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Solution

The fourth proportional to 307,163.72, 460,784.54 and 120,150.92 is: 180,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,163.72 : 460,784.54 = 120,150.92 : x
  2. Step 2: Convert to fraction form
    307,163.72/460,784.54 = 120,150.92/x
  3. Step 3: Cross multiply
    307,163.72x = 460,784.54 × 120,150.92
  4. Step 4: Simplify right side
    307,163.72x = 55,363,686,402.78
  5. Step 5: Solve for x
    x = 55,363,686,402.78/307,163.72
  6. Step 6: Final answer
    x = 180,241.62

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1.5x scale

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.