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Finding the Fourth Proportional to 308,123.10, 461,795.85 and 150,011.10

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Solution

The fourth proportional to 308,123.10, 461,795.85 and 150,011.10 is: 224,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,123.10 : 461,795.85 = 150,011.10 : x
  2. Step 2: Convert to fraction form
    308,123.10/461,795.85 = 150,011.10/x
  3. Step 3: Cross multiply
    308,123.10x = 461,795.85 × 150,011.10
  4. Step 4: Simplify right side
    308,123.10x = 69,274,503,433.94
  5. Step 5: Solve for x
    x = 69,274,503,433.94/308,123.10
  6. Step 6: Final answer
    x = 224,827.36

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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.