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Finding the Fourth Proportional to 114,881.86, 172,350.30 and 55,648.30

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Solution

The fourth proportional to 114,881.86, 172,350.30 and 55,648.30 is: 83,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,881.86 : 172,350.30 = 55,648.30 : x
  2. Step 2: Convert to fraction form
    114,881.86/172,350.30 = 55,648.30/x
  3. Step 3: Cross multiply
    114,881.86x = 172,350.30 × 55,648.30
  4. Step 4: Simplify right side
    114,881.86x = 9,591,001,199.49
  5. Step 5: Solve for x
    x = 9,591,001,199.49/114,881.86
  6. Step 6: Final answer
    x = 83,485.78

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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.