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Finding the Fourth Proportional to 208,205.60, 312,089.70 and 119,267.60

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Solution

The fourth proportional to 208,205.60, 312,089.70 and 119,267.60 is: 178,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.60 : 312,089.70 = 119,267.60 : x
  2. Step 2: Convert to fraction form
    208,205.60/312,089.70 = 119,267.60/x
  3. Step 3: Cross multiply
    208,205.60x = 312,089.70 × 119,267.60
  4. Step 4: Simplify right side
    208,205.60x = 37,222,189,503.72
  5. Step 5: Solve for x
    x = 37,222,189,503.72/208,205.60
  6. Step 6: Final answer
    x = 178,776.12

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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.