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Finding the Fourth Proportional to 301,123.20, 451,684.80 and 189,148.80

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Solution

The fourth proportional to 301,123.20, 451,684.80 and 189,148.80 is: 283,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,123.20 : 451,684.80 = 189,148.80 : x
  2. Step 2: Convert to fraction form
    301,123.20/451,684.80 = 189,148.80/x
  3. Step 3: Cross multiply
    301,123.20x = 451,684.80 × 189,148.80
  4. Step 4: Simplify right side
    301,123.20x = 85,435,637,898.24
  5. Step 5: Solve for x
    x = 85,435,637,898.24/301,123.20
  6. Step 6: Final answer
    x = 283,723.20

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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.