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Finding the Fourth Proportional to 374,884.82, 562,394.89 and 122,142.80

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Solution

The fourth proportional to 374,884.82, 562,394.89 and 122,142.80 is: 183,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,884.82 : 562,394.89 = 122,142.80 : x
  2. Step 2: Convert to fraction form
    374,884.82/562,394.89 = 122,142.80/x
  3. Step 3: Cross multiply
    374,884.82x = 562,394.89 × 122,142.80
  4. Step 4: Simplify right side
    374,884.82x = 68,692,488,128.96
  5. Step 5: Solve for x
    x = 68,692,488,128.96/374,884.82
  6. Step 6: Final answer
    x = 183,236.25

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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.