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Finding the Fourth Proportional to 144,980.26, 200,073.12 and 84,592.42

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Solution

The fourth proportional to 144,980.26, 200,073.12 and 84,592.42 is: 116,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,980.26 : 200,073.12 = 84,592.42 : x
  2. Step 2: Convert to fraction form
    144,980.26/200,073.12 = 84,592.42/x
  3. Step 3: Cross multiply
    144,980.26x = 200,073.12 × 84,592.42
  4. Step 4: Simplify right side
    144,980.26x = 16,924,669,397.75
  5. Step 5: Solve for x
    x = 16,924,669,397.75/144,980.26
  6. Step 6: Final answer
    x = 116,737.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.