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Finding the Fourth Proportional to 302,142.48, 452,805.44 and 115,051.92

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Solution

The fourth proportional to 302,142.48, 452,805.44 and 115,051.92 is: 172,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,142.48 : 452,805.44 = 115,051.92 : x
  2. Step 2: Convert to fraction form
    302,142.48/452,805.44 = 115,051.92/x
  3. Step 3: Cross multiply
    302,142.48x = 452,805.44 × 115,051.92
  4. Step 4: Simplify right side
    302,142.48x = 52,096,135,258.44
  5. Step 5: Solve for x
    x = 52,096,135,258.44/302,142.48
  6. Step 6: Final answer
    x = 172,422.41

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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.