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Finding the Fourth Proportional to 103,662.46, 155,305.06 and 72,005.64

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Solution

The fourth proportional to 103,662.46, 155,305.06 and 72,005.64 is: 107,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,662.46 : 155,305.06 = 72,005.64 : x
  2. Step 2: Convert to fraction form
    103,662.46/155,305.06 = 72,005.64/x
  3. Step 3: Cross multiply
    103,662.46x = 155,305.06 × 72,005.64
  4. Step 4: Simplify right side
    103,662.46x = 11,182,840,240.54
  5. Step 5: Solve for x
    x = 11,182,840,240.54/103,662.46
  6. Step 6: Final answer
    x = 107,877.43

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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.