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Finding the Fourth Proportional to 217,209.60, 325,814.40 and 149,558.40

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Solution

The fourth proportional to 217,209.60, 325,814.40 and 149,558.40 is: 224,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,209.60 : 325,814.40 = 149,558.40 : x
  2. Step 2: Convert to fraction form
    217,209.60/325,814.40 = 149,558.40/x
  3. Step 3: Cross multiply
    217,209.60x = 325,814.40 × 149,558.40
  4. Step 4: Simplify right side
    217,209.60x = 48,728,280,360.96
  5. Step 5: Solve for x
    x = 48,728,280,360.96/217,209.60
  6. Step 6: Final answer
    x = 224,337.60

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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.