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Finding the Fourth Proportional to 140,415.40, 210,623.10 and 87,271.30

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Solution

The fourth proportional to 140,415.40, 210,623.10 and 87,271.30 is: 130,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,415.40 : 210,623.10 = 87,271.30 : x
  2. Step 2: Convert to fraction form
    140,415.40/210,623.10 = 87,271.30/x
  3. Step 3: Cross multiply
    140,415.40x = 210,623.10 × 87,271.30
  4. Step 4: Simplify right side
    140,415.40x = 18,381,351,747.03
  5. Step 5: Solve for x
    x = 18,381,351,747.03/140,415.40
  6. Step 6: Final answer
    x = 130,906.95

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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.