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Finding the Fourth Proportional to 120,082.94, 180,124.17 and 112,775.63

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Solution

The fourth proportional to 120,082.94, 180,124.17 and 112,775.63 is: 169,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,082.94 : 180,124.17 = 112,775.63 : x
  2. Step 2: Convert to fraction form
    120,082.94/180,124.17 = 112,775.63/x
  3. Step 3: Cross multiply
    120,082.94x = 180,124.17 × 112,775.63
  4. Step 4: Simplify right side
    120,082.94x = 20,313,615,849.36
  5. Step 5: Solve for x
    x = 20,313,615,849.36/120,082.94
  6. Step 6: Final answer
    x = 169,163.22

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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.