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Finding the Fourth Proportional to 208,540.90, 312,811.35 and 103,564.90

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Solution

The fourth proportional to 208,540.90, 312,811.35 and 103,564.90 is: 155,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,540.90 : 312,811.35 = 103,564.90 : x
  2. Step 2: Convert to fraction form
    208,540.90/312,811.35 = 103,564.90/x
  3. Step 3: Cross multiply
    208,540.90x = 312,811.35 × 103,564.90
  4. Step 4: Simplify right side
    208,540.90x = 32,396,276,181.62
  5. Step 5: Solve for x
    x = 32,396,276,181.62/208,540.90
  6. Step 6: Final answer
    x = 155,347.35

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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.