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Finding the Fourth Proportional to 205,365.80, 283,402.50 and 120,466.52

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Solution

The fourth proportional to 205,365.80, 283,402.50 and 120,466.52 is: 166,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.80 : 283,402.50 = 120,466.52 : x
  2. Step 2: Convert to fraction form
    205,365.80/283,402.50 = 120,466.52/x
  3. Step 3: Cross multiply
    205,365.80x = 283,402.50 × 120,466.52
  4. Step 4: Simplify right side
    205,365.80x = 34,140,512,934.30
  5. Step 5: Solve for x
    x = 34,140,512,934.30/205,365.80
  6. Step 6: Final answer
    x = 166,242.45

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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.