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Finding the Fourth Proportional to 133,882.16, 200,506.60 and 116,256.20

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Solution

The fourth proportional to 133,882.16, 200,506.60 and 116,256.20 is: 174,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,882.16 : 200,506.60 = 116,256.20 : x
  2. Step 2: Convert to fraction form
    133,882.16/200,506.60 = 116,256.20/x
  3. Step 3: Cross multiply
    133,882.16x = 200,506.60 × 116,256.20
  4. Step 4: Simplify right side
    133,882.16x = 23,310,135,390.92
  5. Step 5: Solve for x
    x = 23,310,135,390.92/133,882.16
  6. Step 6: Final answer
    x = 174,109.35

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1.5x scale

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.