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Finding the Fourth Proportional to 197,205.60, 295,808.40 and 78,961.80

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Solution

The fourth proportional to 197,205.60, 295,808.40 and 78,961.80 is: 118,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,205.60 : 295,808.40 = 78,961.80 : x
  2. Step 2: Convert to fraction form
    197,205.60/295,808.40 = 78,961.80/x
  3. Step 3: Cross multiply
    197,205.60x = 295,808.40 × 78,961.80
  4. Step 4: Simplify right side
    197,205.60x = 23,357,563,719.12
  5. Step 5: Solve for x
    x = 23,357,563,719.12/197,205.60
  6. Step 6: Final answer
    x = 118,442.70

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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.