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Finding the Fourth Proportional to 208,874.40, 313,311.60 and 186,129.60

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Solution

The fourth proportional to 208,874.40, 313,311.60 and 186,129.60 is: 279,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.40 : 313,311.60 = 186,129.60 : x
  2. Step 2: Convert to fraction form
    208,874.40/313,311.60 = 186,129.60/x
  3. Step 3: Cross multiply
    208,874.40x = 313,311.60 × 186,129.60
  4. Step 4: Simplify right side
    208,874.40x = 58,316,562,783.36
  5. Step 5: Solve for x
    x = 58,316,562,783.36/208,874.40
  6. Step 6: Final answer
    x = 279,194.40

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1.5x scale

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.