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Finding the Fourth Proportional to 432,082.05, 648,123.08 and 195,432.45

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Solution

The fourth proportional to 432,082.05, 648,123.08 and 195,432.45 is: 293,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,082.05 : 648,123.08 = 195,432.45 : x
  2. Step 2: Convert to fraction form
    432,082.05/648,123.08 = 195,432.45/x
  3. Step 3: Cross multiply
    432,082.05x = 648,123.08 × 195,432.45
  4. Step 4: Simplify right side
    432,082.05x = 126,664,280,448.78
  5. Step 5: Solve for x
    x = 126,664,280,448.78/432,082.05
  6. Step 6: Final answer
    x = 293,148.68

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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.