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Finding the Fourth Proportional to 289,152.92, 399,033.06 and 161,840.36

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Solution

The fourth proportional to 289,152.92, 399,033.06 and 161,840.36 is: 223,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,152.92 : 399,033.06 = 161,840.36 : x
  2. Step 2: Convert to fraction form
    289,152.92/399,033.06 = 161,840.36/x
  3. Step 3: Cross multiply
    289,152.92x = 399,033.06 × 161,840.36
  4. Step 4: Simplify right side
    289,152.92x = 64,579,654,082.30
  5. Step 5: Solve for x
    x = 64,579,654,082.30/289,152.92
  6. Step 6: Final answer
    x = 223,340.83

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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.