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Finding the Fourth Proportional to 204,748.70, 307,123.05 and 189,002.30

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Solution

The fourth proportional to 204,748.70, 307,123.05 and 189,002.30 is: 283,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,748.70 : 307,123.05 = 189,002.30 : x
  2. Step 2: Convert to fraction form
    204,748.70/307,123.05 = 189,002.30/x
  3. Step 3: Cross multiply
    204,748.70x = 307,123.05 × 189,002.30
  4. Step 4: Simplify right side
    204,748.70x = 58,046,962,833.02
  5. Step 5: Solve for x
    x = 58,046,962,833.02/204,748.70
  6. Step 6: Final answer
    x = 283,503.45

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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.