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Finding the Fourth Proportional to 147,804.68, 221,711.76 and 57,843.84

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Solution

The fourth proportional to 147,804.68, 221,711.76 and 57,843.84 is: 86,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804.68 : 221,711.76 = 57,843.84 : x
  2. Step 2: Convert to fraction form
    147,804.68/221,711.76 = 57,843.84/x
  3. Step 3: Cross multiply
    147,804.68x = 221,711.76 × 57,843.84
  4. Step 4: Simplify right side
    147,804.68x = 12,824,659,571.56
  5. Step 5: Solve for x
    x = 12,824,659,571.56/147,804.68
  6. Step 6: Final answer
    x = 86,767.62

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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.