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Finding the Fourth Proportional to 196,999.60, 295,153.80 and 161,748.40

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Solution

The fourth proportional to 196,999.60, 295,153.80 and 161,748.40 is: 242,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,999.60 : 295,153.80 = 161,748.40 : x
  2. Step 2: Convert to fraction form
    196,999.60/295,153.80 = 161,748.40/x
  3. Step 3: Cross multiply
    196,999.60x = 295,153.80 × 161,748.40
  4. Step 4: Simplify right side
    196,999.60x = 47,740,654,903.92
  5. Step 5: Solve for x
    x = 47,740,654,903.92/196,999.60
  6. Step 6: Final answer
    x = 242,338.84

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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.