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Finding the Fourth Proportional to 161,377.85, 242,025.60 and 114,433.85

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Solution

The fourth proportional to 161,377.85, 242,025.60 and 114,433.85 is: 171,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,377.85 : 242,025.60 = 114,433.85 : x
  2. Step 2: Convert to fraction form
    161,377.85/242,025.60 = 114,433.85/x
  3. Step 3: Cross multiply
    161,377.85x = 242,025.60 × 114,433.85
  4. Step 4: Simplify right side
    161,377.85x = 27,695,921,206.56
  5. Step 5: Solve for x
    x = 27,695,921,206.56/161,377.85
  6. Step 6: Final answer
    x = 171,621.58

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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.