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Finding the Fourth Proportional to 255,929.50, 353,295.96 and 165,329.64

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Solution

The fourth proportional to 255,929.50, 353,295.96 and 165,329.64 is: 228,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,929.50 : 353,295.96 = 165,329.64 : x
  2. Step 2: Convert to fraction form
    255,929.50/353,295.96 = 165,329.64/x
  3. Step 3: Cross multiply
    255,929.50x = 353,295.96 × 165,329.64
  4. Step 4: Simplify right side
    255,929.50x = 58,410,293,880.25
  5. Step 5: Solve for x
    x = 58,410,293,880.25/255,929.50
  6. Step 6: Final answer
    x = 228,228.06

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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.