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Finding the Fourth Proportional to 140,002, 210,003 and 41,506

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Solution

The fourth proportional to 140,002, 210,003 and 41,506 is: 62,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,002 : 210,003 = 41,506 : x
  2. Step 2: Convert to fraction form
    140,002/210,003 = 41,506/x
  3. Step 3: Cross multiply
    140,002x = 210,003 × 41,506
  4. Step 4: Simplify right side
    140,002x = 8,716,384,518
  5. Step 5: Solve for x
    x = 8,716,384,518/140,002
  6. Step 6: Final answer
    x = 62,259

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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.