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Finding the Fourth Proportional to 120,343.46, 166,073.10 and 72,623.12

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Solution

The fourth proportional to 120,343.46, 166,073.10 and 72,623.12 is: 100,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,343.46 : 166,073.10 = 72,623.12 : x
  2. Step 2: Convert to fraction form
    120,343.46/166,073.10 = 72,623.12/x
  3. Step 3: Cross multiply
    120,343.46x = 166,073.10 × 72,623.12
  4. Step 4: Simplify right side
    120,343.46x = 12,060,746,670.07
  5. Step 5: Solve for x
    x = 12,060,746,670.07/120,343.46
  6. Step 6: Final answer
    x = 100,219.38

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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.