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Finding the Fourth Proportional to 171,709.40, 257,564.10 and 162,032.60

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Solution

The fourth proportional to 171,709.40, 257,564.10 and 162,032.60 is: 243,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,709.40 : 257,564.10 = 162,032.60 : x
  2. Step 2: Convert to fraction form
    171,709.40/257,564.10 = 162,032.60/x
  3. Step 3: Cross multiply
    171,709.40x = 257,564.10 × 162,032.60
  4. Step 4: Simplify right side
    171,709.40x = 41,733,780,789.66
  5. Step 5: Solve for x
    x = 41,733,780,789.66/171,709.40
  6. Step 6: Final answer
    x = 243,048.90

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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.