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Finding the Fourth Proportional to 227,769.96, 341,123.16 and 180,064.46

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Solution

The fourth proportional to 227,769.96, 341,123.16 and 180,064.46 is: 269,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,769.96 : 341,123.16 = 180,064.46 : x
  2. Step 2: Convert to fraction form
    227,769.96/341,123.16 = 180,064.46/x
  3. Step 3: Cross multiply
    227,769.96x = 341,123.16 × 180,064.46
  4. Step 4: Simplify right side
    227,769.96x = 61,424,157,598.89
  5. Step 5: Solve for x
    x = 61,424,157,598.89/227,769.96
  6. Step 6: Final answer
    x = 269,676.29

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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.