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Finding the Fourth Proportional to 157,892.70, 236,493.45 and 137,156.70

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Solution

The fourth proportional to 157,892.70, 236,493.45 and 137,156.70 is: 205,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,892.70 : 236,493.45 = 137,156.70 : x
  2. Step 2: Convert to fraction form
    157,892.70/236,493.45 = 137,156.70/x
  3. Step 3: Cross multiply
    157,892.70x = 236,493.45 × 137,156.70
  4. Step 4: Simplify right side
    157,892.70x = 32,436,661,173.62
  5. Step 5: Solve for x
    x = 32,436,661,173.62/157,892.70
  6. Step 6: Final answer
    x = 205,434.84

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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.