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Finding the Fourth Proportional to 205,688.40, 308,532.60 and 122,744.40

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Solution

The fourth proportional to 205,688.40, 308,532.60 and 122,744.40 is: 184,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,688.40 : 308,532.60 = 122,744.40 : x
  2. Step 2: Convert to fraction form
    205,688.40/308,532.60 = 122,744.40/x
  3. Step 3: Cross multiply
    205,688.40x = 308,532.60 × 122,744.40
  4. Step 4: Simplify right side
    205,688.40x = 37,870,648,867.44
  5. Step 5: Solve for x
    x = 37,870,648,867.44/205,688.40
  6. Step 6: Final answer
    x = 184,116.60

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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.