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Finding the Fourth Proportional to 197,114.20, 295,671.30 and 97,289.80

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Solution

The fourth proportional to 197,114.20, 295,671.30 and 97,289.80 is: 145,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,114.20 : 295,671.30 = 97,289.80 : x
  2. Step 2: Convert to fraction form
    197,114.20/295,671.30 = 97,289.80/x
  3. Step 3: Cross multiply
    197,114.20x = 295,671.30 × 97,289.80
  4. Step 4: Simplify right side
    197,114.20x = 28,765,801,642.74
  5. Step 5: Solve for x
    x = 28,765,801,642.74/197,114.20
  6. Step 6: Final answer
    x = 145,934.70

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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.