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Finding the Fourth Proportional to 162,846.40, 224,731.92 and 109,094.80

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Solution

The fourth proportional to 162,846.40, 224,731.92 and 109,094.80 is: 150,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,846.40 : 224,731.92 = 109,094.80 : x
  2. Step 2: Convert to fraction form
    162,846.40/224,731.92 = 109,094.80/x
  3. Step 3: Cross multiply
    162,846.40x = 224,731.92 × 109,094.80
  4. Step 4: Simplify right side
    162,846.40x = 24,517,083,866.02
  5. Step 5: Solve for x
    x = 24,517,083,866.02/162,846.40
  6. Step 6: Final answer
    x = 150,553.43

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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.