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Finding the Fourth Proportional to 252,019.25, 378,039.50 and 117,209.84

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Solution

The fourth proportional to 252,019.25, 378,039.50 and 117,209.84 is: 175,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,019.25 : 378,039.50 = 117,209.84 : x
  2. Step 2: Convert to fraction form
    252,019.25/378,039.50 = 117,209.84/x
  3. Step 3: Cross multiply
    252,019.25x = 378,039.50 × 117,209.84
  4. Step 4: Simplify right side
    252,019.25x = 44,309,947,931.28
  5. Step 5: Solve for x
    x = 44,309,947,931.28/252,019.25
  6. Step 6: Final answer
    x = 175,819.70

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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.