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Finding the Fourth Proportional to 273,066, 409,668.14 and 76,074

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Solution

The fourth proportional to 273,066, 409,668.14 and 76,074 is: 114,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,066 : 409,668.14 = 76,074 : x
  2. Step 2: Convert to fraction form
    273,066/409,668.14 = 76,074/x
  3. Step 3: Cross multiply
    273,066x = 409,668.14 × 76,074
  4. Step 4: Simplify right side
    273,066x = 31,165,094,082.36
  5. Step 5: Solve for x
    x = 31,165,094,082.36/273,066
  6. Step 6: Final answer
    x = 114,130.26

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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.