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Finding the Fourth Proportional to 102,406.32, 154,152.90 and 73,027.44

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Solution

The fourth proportional to 102,406.32, 154,152.90 and 73,027.44 is: 109,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.32 : 154,152.90 = 73,027.44 : x
  2. Step 2: Convert to fraction form
    102,406.32/154,152.90 = 73,027.44/x
  3. Step 3: Cross multiply
    102,406.32x = 154,152.90 × 73,027.44
  4. Step 4: Simplify right side
    102,406.32x = 11,257,391,655.58
  5. Step 5: Solve for x
    x = 11,257,391,655.58/102,406.32
  6. Step 6: Final answer
    x = 109,928.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.