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Finding the Fourth Proportional to 140,662.62, 210,950.19 and 47,146.50

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Solution

The fourth proportional to 140,662.62, 210,950.19 and 47,146.50 is: 70,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,662.62 : 210,950.19 = 47,146.50 : x
  2. Step 2: Convert to fraction form
    140,662.62/210,950.19 = 47,146.50/x
  3. Step 3: Cross multiply
    140,662.62x = 210,950.19 × 47,146.50
  4. Step 4: Simplify right side
    140,662.62x = 9,945,563,132.84
  5. Step 5: Solve for x
    x = 9,945,563,132.84/140,662.62
  6. Step 6: Final answer
    x = 70,705.09

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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.