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Finding the Fourth Proportional to 103,676.46, 155,326.06 and 72,019.64

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Solution

The fourth proportional to 103,676.46, 155,326.06 and 72,019.64 is: 107,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676.46 : 155,326.06 = 72,019.64 : x
  2. Step 2: Convert to fraction form
    103,676.46/155,326.06 = 72,019.64/x
  3. Step 3: Cross multiply
    103,676.46x = 155,326.06 × 72,019.64
  4. Step 4: Simplify right side
    103,676.46x = 11,186,526,923.82
  5. Step 5: Solve for x
    x = 11,186,526,923.82/103,676.46
  6. Step 6: Final answer
    x = 107,898.43

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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.