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Finding the Fourth Proportional to 208,285.50, 312,363.45 and 75,148.32

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Solution

The fourth proportional to 208,285.50, 312,363.45 and 75,148.32 is: 112,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,285.50 : 312,363.45 = 75,148.32 : x
  2. Step 2: Convert to fraction form
    208,285.50/312,363.45 = 75,148.32/x
  3. Step 3: Cross multiply
    208,285.50x = 312,363.45 × 75,148.32
  4. Step 4: Simplify right side
    208,285.50x = 23,473,588,496.90
  5. Step 5: Solve for x
    x = 23,473,588,496.90/208,285.50
  6. Step 6: Final answer
    x = 112,699.10

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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.