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Finding the Fourth Proportional to 120,494.72, 180,776.64 and 46,674.56

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Solution

The fourth proportional to 120,494.72, 180,776.64 and 46,674.56 is: 70,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.72 : 180,776.64 = 46,674.56 : x
  2. Step 2: Convert to fraction form
    120,494.72/180,776.64 = 46,674.56/x
  3. Step 3: Cross multiply
    120,494.72x = 180,776.64 × 46,674.56
  4. Step 4: Simplify right side
    120,494.72x = 8,437,670,130.28
  5. Step 5: Solve for x
    x = 8,437,670,130.28/120,494.72
  6. Step 6: Final answer
    x = 70,025.23

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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.