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Finding the Fourth Proportional to 208,861.60, 313,465.20 and 96,714.40

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Solution

The fourth proportional to 208,861.60, 313,465.20 and 96,714.40 is: 145,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,861.60 : 313,465.20 = 96,714.40 : x
  2. Step 2: Convert to fraction form
    208,861.60/313,465.20 = 96,714.40/x
  3. Step 3: Cross multiply
    208,861.60x = 313,465.20 × 96,714.40
  4. Step 4: Simplify right side
    208,861.60x = 30,316,598,738.88
  5. Step 5: Solve for x
    x = 30,316,598,738.88/208,861.60
  6. Step 6: Final answer
    x = 145,151.62

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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.