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Finding the Fourth Proportional to 188,614.86, 282,889.89 and 55,491.90

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Solution

The fourth proportional to 188,614.86, 282,889.89 and 55,491.90 is: 83,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,614.86 : 282,889.89 = 55,491.90 : x
  2. Step 2: Convert to fraction form
    188,614.86/282,889.89 = 55,491.90/x
  3. Step 3: Cross multiply
    188,614.86x = 282,889.89 × 55,491.90
  4. Step 4: Simplify right side
    188,614.86x = 15,698,097,486.89
  5. Step 5: Solve for x
    x = 15,698,097,486.89/188,614.86
  6. Step 6: Final answer
    x = 83,228.32

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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.