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Finding the Fourth Proportional to 133,874.19, 200,811.48 and 100,175.34

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Solution

The fourth proportional to 133,874.19, 200,811.48 and 100,175.34 is: 150,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,874.19 : 200,811.48 = 100,175.34 : x
  2. Step 2: Convert to fraction form
    133,874.19/200,811.48 = 100,175.34/x
  3. Step 3: Cross multiply
    133,874.19x = 200,811.48 × 100,175.34
  4. Step 4: Simplify right side
    133,874.19x = 20,116,358,284.90
  5. Step 5: Solve for x
    x = 20,116,358,284.90/133,874.19
  6. Step 6: Final answer
    x = 150,263.16

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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.