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Finding the Fourth Proportional to 208,094.60, 312,141.90 and 161,438.60

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Solution

The fourth proportional to 208,094.60, 312,141.90 and 161,438.60 is: 242,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,094.60 : 312,141.90 = 161,438.60 : x
  2. Step 2: Convert to fraction form
    208,094.60/312,141.90 = 161,438.60/x
  3. Step 3: Cross multiply
    208,094.60x = 312,141.90 × 161,438.60
  4. Step 4: Simplify right side
    208,094.60x = 50,391,751,337.34
  5. Step 5: Solve for x
    x = 50,391,751,337.34/208,094.60
  6. Step 6: Final answer
    x = 242,157.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.