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Finding the Fourth Proportional to 188,568.44, 282,470.74 and 87,222.52

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Solution

The fourth proportional to 188,568.44, 282,470.74 and 87,222.52 is: 130,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,568.44 : 282,470.74 = 87,222.52 : x
  2. Step 2: Convert to fraction form
    188,568.44/282,470.74 = 87,222.52/x
  3. Step 3: Cross multiply
    188,568.44x = 282,470.74 × 87,222.52
  4. Step 4: Simplify right side
    188,568.44x = 24,637,809,769.06
  5. Step 5: Solve for x
    x = 24,637,809,769.06/188,568.44
  6. Step 6: Final answer
    x = 130,657.12

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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.