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Finding the Fourth Proportional to 102,566.20, 153,849.30 and 55,910.20

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Solution

The fourth proportional to 102,566.20, 153,849.30 and 55,910.20 is: 83,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,566.20 : 153,849.30 = 55,910.20 : x
  2. Step 2: Convert to fraction form
    102,566.20/153,849.30 = 55,910.20/x
  3. Step 3: Cross multiply
    102,566.20x = 153,849.30 × 55,910.20
  4. Step 4: Simplify right side
    102,566.20x = 8,601,745,132.86
  5. Step 5: Solve for x
    x = 8,601,745,132.86/102,566.20
  6. Step 6: Final answer
    x = 83,865.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.