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Finding the Fourth Proportional to 306,142.90, 422,482.26 and 168,327.66

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Solution

The fourth proportional to 306,142.90, 422,482.26 and 168,327.66 is: 232,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,142.90 : 422,482.26 = 168,327.66 : x
  2. Step 2: Convert to fraction form
    306,142.90/422,482.26 = 168,327.66/x
  3. Step 3: Cross multiply
    306,142.90x = 422,482.26 × 168,327.66
  4. Step 4: Simplify right side
    306,142.90x = 71,115,448,042.01
  5. Step 5: Solve for x
    x = 71,115,448,042.01/306,142.90
  6. Step 6: Final answer
    x = 232,294.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.