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Finding the Fourth Proportional to 114,114.30, 171,171.45 and 96,399.60

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Solution

The fourth proportional to 114,114.30, 171,171.45 and 96,399.60 is: 144,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,114.30 : 171,171.45 = 96,399.60 : x
  2. Step 2: Convert to fraction form
    114,114.30/171,171.45 = 96,399.60/x
  3. Step 3: Cross multiply
    114,114.30x = 171,171.45 × 96,399.60
  4. Step 4: Simplify right side
    114,114.30x = 16,500,859,311.42
  5. Step 5: Solve for x
    x = 16,500,859,311.42/114,114.30
  6. Step 6: Final answer
    x = 144,599.40

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1.5x scale

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.