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Finding the Fourth Proportional to 538,098.30, 807,147.45 and 164,072.70

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Solution

The fourth proportional to 538,098.30, 807,147.45 and 164,072.70 is: 246,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,098.30 : 807,147.45 = 164,072.70 : x
  2. Step 2: Convert to fraction form
    538,098.30/807,147.45 = 164,072.70/x
  3. Step 3: Cross multiply
    538,098.30x = 807,147.45 × 164,072.70
  4. Step 4: Simplify right side
    538,098.30x = 132,430,861,419.62
  5. Step 5: Solve for x
    x = 132,430,861,419.62/538,098.30
  6. Step 6: Final answer
    x = 246,109.05

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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.