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Finding the Fourth Proportional to 254,595.24, 381,311.12 and 121,568.66

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Solution

The fourth proportional to 254,595.24, 381,311.12 and 121,568.66 is: 182,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,595.24 : 381,311.12 = 121,568.66 : x
  2. Step 2: Convert to fraction form
    254,595.24/381,311.12 = 121,568.66/x
  3. Step 3: Cross multiply
    254,595.24x = 381,311.12 × 121,568.66
  4. Step 4: Simplify right side
    254,595.24x = 46,355,481,901.50
  5. Step 5: Solve for x
    x = 46,355,481,901.50/254,595.24
  6. Step 6: Final answer
    x = 182,075.21

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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.