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Finding the Fourth Proportional to 109,870.30, 164,611.05 and 102,871.90

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Solution

The fourth proportional to 109,870.30, 164,611.05 and 102,871.90 is: 154,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870.30 : 164,611.05 = 102,871.90 : x
  2. Step 2: Convert to fraction form
    109,870.30/164,611.05 = 102,871.90/x
  3. Step 3: Cross multiply
    109,870.30x = 164,611.05 × 102,871.90
  4. Step 4: Simplify right side
    109,870.30x = 16,933,851,474.50
  5. Step 5: Solve for x
    x = 16,933,851,474.50/109,870.30
  6. Step 6: Final answer
    x = 154,125.83

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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.