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Finding the Fourth Proportional to 145,849.20, 218,773.80 and 110,857.20

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Solution

The fourth proportional to 145,849.20, 218,773.80 and 110,857.20 is: 166,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,849.20 : 218,773.80 = 110,857.20 : x
  2. Step 2: Convert to fraction form
    145,849.20/218,773.80 = 110,857.20/x
  3. Step 3: Cross multiply
    145,849.20x = 218,773.80 × 110,857.20
  4. Step 4: Simplify right side
    145,849.20x = 24,252,650,901.36
  5. Step 5: Solve for x
    x = 24,252,650,901.36/145,849.20
  6. Step 6: Final answer
    x = 166,285.80

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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.