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Finding the Fourth Proportional to 155,771.94, 233,663.16 and 43,454.90

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Solution

The fourth proportional to 155,771.94, 233,663.16 and 43,454.90 is: 65,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,771.94 : 233,663.16 = 43,454.90 : x
  2. Step 2: Convert to fraction form
    155,771.94/233,663.16 = 43,454.90/x
  3. Step 3: Cross multiply
    155,771.94x = 233,663.16 × 43,454.90
  4. Step 4: Simplify right side
    155,771.94x = 10,153,809,251.48
  5. Step 5: Solve for x
    x = 10,153,809,251.48/155,771.94
  6. Step 6: Final answer
    x = 65,183.81

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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.