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Finding the Fourth Proportional to 302,133.66, 453,400.14 and 142,255.31

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Solution

The fourth proportional to 302,133.66, 453,400.14 and 142,255.31 is: 213,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,133.66 : 453,400.14 = 142,255.31 : x
  2. Step 2: Convert to fraction form
    302,133.66/453,400.14 = 142,255.31/x
  3. Step 3: Cross multiply
    302,133.66x = 453,400.14 × 142,255.31
  4. Step 4: Simplify right side
    302,133.66x = 64,498,578,958.88
  5. Step 5: Solve for x
    x = 64,498,578,958.88/302,133.66
  6. Step 6: Final answer
    x = 213,476.97

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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.