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Finding the Fourth Proportional to 171,827.76, 257,765.07 and 99,814.50

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Solution

The fourth proportional to 171,827.76, 257,765.07 and 99,814.50 is: 149,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,827.76 : 257,765.07 = 99,814.50 : x
  2. Step 2: Convert to fraction form
    171,827.76/257,765.07 = 99,814.50/x
  3. Step 3: Cross multiply
    171,827.76x = 257,765.07 × 99,814.50
  4. Step 4: Simplify right side
    171,827.76x = 25,728,692,538.42
  5. Step 5: Solve for x
    x = 25,728,692,538.42/171,827.76
  6. Step 6: Final answer
    x = 149,735.37

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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.