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Finding the Fourth Proportional to 208,315.30, 312,489.14 and 68,088.10

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Solution

The fourth proportional to 208,315.30, 312,489.14 and 68,088.10 is: 102,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.30 : 312,489.14 = 68,088.10 : x
  2. Step 2: Convert to fraction form
    208,315.30/312,489.14 = 68,088.10/x
  3. Step 3: Cross multiply
    208,315.30x = 312,489.14 × 68,088.10
  4. Step 4: Simplify right side
    208,315.30x = 21,276,791,813.23
  5. Step 5: Solve for x
    x = 21,276,791,813.23/208,315.30
  6. Step 6: Final answer
    x = 102,137.44

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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.