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Finding the Fourth Proportional to 364,563.36, 546,861.42 and 111,825.45

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Solution

The fourth proportional to 364,563.36, 546,861.42 and 111,825.45 is: 167,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,563.36 : 546,861.42 = 111,825.45 : x
  2. Step 2: Convert to fraction form
    364,563.36/546,861.42 = 111,825.45/x
  3. Step 3: Cross multiply
    364,563.36x = 546,861.42 × 111,825.45
  4. Step 4: Simplify right side
    364,563.36x = 61,153,024,379.14
  5. Step 5: Solve for x
    x = 61,153,024,379.14/364,563.36
  6. Step 6: Final answer
    x = 167,743.20

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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.