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Finding the Fourth Proportional to 203,242.62, 304,898.13 and 75,166.41

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Solution

The fourth proportional to 203,242.62, 304,898.13 and 75,166.41 is: 112,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,242.62 : 304,898.13 = 75,166.41 : x
  2. Step 2: Convert to fraction form
    203,242.62/304,898.13 = 75,166.41/x
  3. Step 3: Cross multiply
    203,242.62x = 304,898.13 × 75,166.41
  4. Step 4: Simplify right side
    203,242.62x = 22,918,097,847.81
  5. Step 5: Solve for x
    x = 22,918,097,847.81/203,242.62
  6. Step 6: Final answer
    x = 112,762.26

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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.