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Finding the Fourth Proportional to 197,114.40, 295,671.60 and 54,959.40

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Solution

The fourth proportional to 197,114.40, 295,671.60 and 54,959.40 is: 82,439.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,114.40 : 295,671.60 = 54,959.40 : x
  2. Step 2: Convert to fraction form
    197,114.40/295,671.60 = 54,959.40/x
  3. Step 3: Cross multiply
    197,114.40x = 295,671.60 × 54,959.40
  4. Step 4: Simplify right side
    197,114.40x = 16,249,933,733.04
  5. Step 5: Solve for x
    x = 16,249,933,733.04/197,114.40
  6. Step 6: Final answer
    x = 82,439.10

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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.