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Finding the Fourth Proportional to 188,132.76, 282,225.60 and 55,023

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Solution

The fourth proportional to 188,132.76, 282,225.60 and 55,023 is: 82,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,132.76 : 282,225.60 = 55,023 : x
  2. Step 2: Convert to fraction form
    188,132.76/282,225.60 = 55,023/x
  3. Step 3: Cross multiply
    188,132.76x = 282,225.60 × 55,023
  4. Step 4: Simplify right side
    188,132.76x = 15,528,899,188.80
  5. Step 5: Solve for x
    x = 15,528,899,188.80/188,132.76
  6. Step 6: Final answer
    x = 82,542.24

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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.