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Finding the Fourth Proportional to 205,029.60, 307,774.80 and 158,488.80

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Solution

The fourth proportional to 205,029.60, 307,774.80 and 158,488.80 is: 237,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029.60 : 307,774.80 = 158,488.80 : x
  2. Step 2: Convert to fraction form
    205,029.60/307,774.80 = 158,488.80/x
  3. Step 3: Cross multiply
    205,029.60x = 307,774.80 × 158,488.80
  4. Step 4: Simplify right side
    205,029.60x = 48,778,858,722.24
  5. Step 5: Solve for x
    x = 48,778,858,722.24/205,029.60
  6. Step 6: Final answer
    x = 237,911.30

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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.