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Finding the Fourth Proportional to 266,798.40, 400,082.40 and 133,627.20

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Solution

The fourth proportional to 266,798.40, 400,082.40 and 133,627.20 is: 200,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,798.40 : 400,082.40 = 133,627.20 : x
  2. Step 2: Convert to fraction form
    266,798.40/400,082.40 = 133,627.20/x
  3. Step 3: Cross multiply
    266,798.40x = 400,082.40 × 133,627.20
  4. Step 4: Simplify right side
    266,798.40x = 53,461,890,881.28
  5. Step 5: Solve for x
    x = 53,461,890,881.28/266,798.40
  6. Step 6: Final answer
    x = 200,383.10

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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.