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Finding the Fourth Proportional to 254,700.16, 381,918.96 and 114,338.56

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Solution

The fourth proportional to 254,700.16, 381,918.96 and 114,338.56 is: 171,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,700.16 : 381,918.96 = 114,338.56 : x
  2. Step 2: Convert to fraction form
    254,700.16/381,918.96 = 114,338.56/x
  3. Step 3: Cross multiply
    254,700.16x = 381,918.96 × 114,338.56
  4. Step 4: Simplify right side
    254,700.16x = 43,668,063,923.10
  5. Step 5: Solve for x
    x = 43,668,063,923.10/254,700.16
  6. Step 6: Final answer
    x = 171,448.91

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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.