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Finding the Fourth Proportional to 188,133.76, 282,227.10 and 55,024

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Solution

The fourth proportional to 188,133.76, 282,227.10 and 55,024 is: 82,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,133.76 : 282,227.10 = 55,024 : x
  2. Step 2: Convert to fraction form
    188,133.76/282,227.10 = 55,024/x
  3. Step 3: Cross multiply
    188,133.76x = 282,227.10 × 55,024
  4. Step 4: Simplify right side
    188,133.76x = 15,529,263,950.40
  5. Step 5: Solve for x
    x = 15,529,263,950.40/188,133.76
  6. Step 6: Final answer
    x = 82,543.74

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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.