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Finding the Fourth Proportional to 289,192.92, 399,082.32 and 161,868.48

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Solution

The fourth proportional to 289,192.92, 399,082.32 and 161,868.48 is: 223,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,192.92 : 399,082.32 = 161,868.48 : x
  2. Step 2: Convert to fraction form
    289,192.92/399,082.32 = 161,868.48/x
  3. Step 3: Cross multiply
    289,192.92x = 399,082.32 × 161,868.48
  4. Step 4: Simplify right side
    289,192.92x = 64,598,848,533.27
  5. Step 5: Solve for x
    x = 64,598,848,533.27/289,192.92
  6. Step 6: Final answer
    x = 223,376.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.