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Finding the Fourth Proportional to 208,138.40, 312,207.60 and 151,713.80

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Solution

The fourth proportional to 208,138.40, 312,207.60 and 151,713.80 is: 227,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,138.40 : 312,207.60 = 151,713.80 : x
  2. Step 2: Convert to fraction form
    208,138.40/312,207.60 = 151,713.80/x
  3. Step 3: Cross multiply
    208,138.40x = 312,207.60 × 151,713.80
  4. Step 4: Simplify right side
    208,138.40x = 47,366,201,384.88
  5. Step 5: Solve for x
    x = 47,366,201,384.88/208,138.40
  6. Step 6: Final answer
    x = 227,570.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.