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Finding the Fourth Proportional to 329,055.84, 493,781.12 and 142,067.20

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Solution

The fourth proportional to 329,055.84, 493,781.12 and 142,067.20 is: 213,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,055.84 : 493,781.12 = 142,067.20 : x
  2. Step 2: Convert to fraction form
    329,055.84/493,781.12 = 142,067.20/x
  3. Step 3: Cross multiply
    329,055.84x = 493,781.12 × 142,067.20
  4. Step 4: Simplify right side
    329,055.84x = 70,150,101,131.26
  5. Step 5: Solve for x
    x = 70,150,101,131.26/329,055.84
  6. Step 6: Final answer
    x = 213,186.01

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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.