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Finding the Fourth Proportional to 189,866.48, 284,829.24 and 63,467.60

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Solution

The fourth proportional to 189,866.48, 284,829.24 and 63,467.60 is: 95,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,866.48 : 284,829.24 = 63,467.60 : x
  2. Step 2: Convert to fraction form
    189,866.48/284,829.24 = 63,467.60/x
  3. Step 3: Cross multiply
    189,866.48x = 284,829.24 × 63,467.60
  4. Step 4: Simplify right side
    189,866.48x = 18,077,428,272.62
  5. Step 5: Solve for x
    x = 18,077,428,272.62/189,866.48
  6. Step 6: Final answer
    x = 95,211.27

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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.