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Finding the Fourth Proportional to 171,942.45, 257,421.60 and 152,259.45

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Solution

The fourth proportional to 171,942.45, 257,421.60 and 152,259.45 is: 227,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,942.45 : 257,421.60 = 152,259.45 : x
  2. Step 2: Convert to fraction form
    171,942.45/257,421.60 = 152,259.45/x
  3. Step 3: Cross multiply
    171,942.45x = 257,421.60 × 152,259.45
  4. Step 4: Simplify right side
    171,942.45x = 39,194,871,234.12
  5. Step 5: Solve for x
    x = 39,194,871,234.12/171,942.45
  6. Step 6: Final answer
    x = 227,953.43

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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.