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Finding the Fourth Proportional to 208,401.60, 312,602.40 and 68,126.40

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Solution

The fourth proportional to 208,401.60, 312,602.40 and 68,126.40 is: 102,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,401.60 : 312,602.40 = 68,126.40 : x
  2. Step 2: Convert to fraction form
    208,401.60/312,602.40 = 68,126.40/x
  3. Step 3: Cross multiply
    208,401.60x = 312,602.40 × 68,126.40
  4. Step 4: Simplify right side
    208,401.60x = 21,296,476,143.36
  5. Step 5: Solve for x
    x = 21,296,476,143.36/208,401.60
  6. Step 6: Final answer
    x = 102,189.60

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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.