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Finding the Fourth Proportional to 196,808.10, 295,285.05 and 78,564.30

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Solution

The fourth proportional to 196,808.10, 295,285.05 and 78,564.30 is: 117,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,808.10 : 295,285.05 = 78,564.30 : x
  2. Step 2: Convert to fraction form
    196,808.10/295,285.05 = 78,564.30/x
  3. Step 3: Cross multiply
    196,808.10x = 295,285.05 × 78,564.30
  4. Step 4: Simplify right side
    196,808.10x = 23,198,863,253.72
  5. Step 5: Solve for x
    x = 23,198,863,253.72/196,808.10
  6. Step 6: Final answer
    x = 117,875.55

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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.