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Finding the Fourth Proportional to 208,438.60, 312,657.90 and 97,846.60

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Solution

The fourth proportional to 208,438.60, 312,657.90 and 97,846.60 is: 146,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.60 : 312,657.90 = 97,846.60 : x
  2. Step 2: Convert to fraction form
    208,438.60/312,657.90 = 97,846.60/x
  3. Step 3: Cross multiply
    208,438.60x = 312,657.90 × 97,846.60
  4. Step 4: Simplify right side
    208,438.60x = 30,592,512,478.14
  5. Step 5: Solve for x
    x = 30,592,512,478.14/208,438.60
  6. Step 6: Final answer
    x = 146,769.90

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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.