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Finding the Fourth Proportional to 208,874.60, 313,484.70 and 96,727.40

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Solution

The fourth proportional to 208,874.60, 313,484.70 and 96,727.40 is: 145,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874.60 : 313,484.70 = 96,727.40 : x
  2. Step 2: Convert to fraction form
    208,874.60/313,484.70 = 96,727.40/x
  3. Step 3: Cross multiply
    208,874.60x = 313,484.70 × 96,727.40
  4. Step 4: Simplify right side
    208,874.60x = 30,322,559,970.78
  5. Step 5: Solve for x
    x = 30,322,559,970.78/208,874.60
  6. Step 6: Final answer
    x = 145,171.12

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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.