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Finding the Fourth Proportional to 120,755.16, 181,427.94 and 114,041.16

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Solution

The fourth proportional to 120,755.16, 181,427.94 and 114,041.16 is: 171,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,755.16 : 181,427.94 = 114,041.16 : x
  2. Step 2: Convert to fraction form
    120,755.16/181,427.94 = 114,041.16/x
  3. Step 3: Cross multiply
    120,755.16x = 181,427.94 × 114,041.16
  4. Step 4: Simplify right side
    120,755.16x = 20,690,252,734.01
  5. Step 5: Solve for x
    x = 20,690,252,734.01/120,755.16
  6. Step 6: Final answer
    x = 171,340.53

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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.