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Finding the Fourth Proportional to 401,076.60, 601,614.90 and 134,748.60

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Solution

The fourth proportional to 401,076.60, 601,614.90 and 134,748.60 is: 202,122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,076.60 : 601,614.90 = 134,748.60 : x
  2. Step 2: Convert to fraction form
    401,076.60/601,614.90 = 134,748.60/x
  3. Step 3: Cross multiply
    401,076.60x = 601,614.90 × 134,748.60
  4. Step 4: Simplify right side
    401,076.60x = 81,066,765,514.14
  5. Step 5: Solve for x
    x = 81,066,765,514.14/401,076.60
  6. Step 6: Final answer
    x = 202,122.90

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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.