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Finding the Fourth Proportional to 102,160.86, 153,208.73 and 33,759.67

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Solution

The fourth proportional to 102,160.86, 153,208.73 and 33,759.67 is: 50,628.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,160.86 : 153,208.73 = 33,759.67 : x
  2. Step 2: Convert to fraction form
    102,160.86/153,208.73 = 33,759.67/x
  3. Step 3: Cross multiply
    102,160.86x = 153,208.73 × 33,759.67
  4. Step 4: Simplify right side
    102,160.86x = 5,172,276,539.74
  5. Step 5: Solve for x
    x = 5,172,276,539.74/102,160.86
  6. Step 6: Final answer
    x = 50,628.75

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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.